Prof. Dr. Gerd Rudolph - Publications


Books and Lecture Notes

  • Y.A. Kubyshin, J.M. Mourão, G. Rudolph, I.P. Volobuev:
    Dimensional Reduction of Gauge Theories, Spontaneous Compactification and Model Building.
    Lecture Notes in Physics 349. Springer 1989   Website

  • G. Rudolph, M. Schmidt:
    Differential Geometry and Mathematical Physics Part I. Manifolds, Lie Groups and Hamiltonian Systems.
    Springer 2012   Website

  • G. Rudolph, M. Schmidt:
    Differential Geometry and Mathematical Physics Part II. Fibre Bundles, Topology and Gauge Fields.
    Springer 2017   Website


    Lecture Notes in German

  • I.P. Volobuev, G. Rudolph, M. Schmidt:
    Komplexe halbeinfache Lie-Algebren und einige ihrer Anwendungen in Eichtheorien.
    PDF

  • G. Rudolph
    Quantenmechanik 1.
    PDF

  • G. Rudolph
    Quantenmechanik 2.
    PDF


    Publications in Journals

  • T.Diez, G. Rudolph: Normal form of equivariant maps in infinite dimensions. Ann Glob Anal Geom 61 , 159-213 (2022)
    arXiv:2010.10165    doi:10.1007/s10455-021-09777-2

  • G. Rudolph, M. Schmidt: On a connection used in deformation quantization. Acta Physica Polonica, Vol 52 , No 4 (2021)
    arXiv:2009.03790    doi:10.5506/APhysPolB.52.359

  • P.D. Jarvis, G. Rudolph, M. Schmidt: Quasicharacters, recoupling calculus and costratifications of lattice quantum gauge theory. J. Math. Phys. 62 , 033514 (2021)
    arXiv:2007.04855    doi:10.1063/5.0021365

  • M.J.Pflaum, G.Rudolph, M.Schmidt: Deformation quantization and homological reduction of a lattice gauge model. Commun. Math. Phys. 382 , 1061-1109, (2021)
    arXiv:1912.12819    doi:10.1007/s00220-020-03896-w

  • T.Diez, G.Rudolph: Singular symplectic cotangent bundle reduction of gauge field theory. J. Math. Phys. 61 , 092902 (2020)
    arXiv:1812.04707    doi:10.1063/1.5116913

  • T.Diez, G.Rudolph: Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories. J. Math. Phys. 60 , 082903 (2019)
    arXiv:1812.04695    doi:10.1063/1.5085764

  • T.Diez, G.Rudolph: Slice theorem and orbit type stratification in infinite dimensions. Differential Geometry and its Applications 65 (2019), p. 176-211
    arXiv:1812.04698    doi:10.1016/j.difgeo.2019.03.005

  • E.Fuchs, P.D.Jarvis, G.Rudolph, M.Schmidt: The Hilbert space costratification for the orbit type strata of SU(2)-lattice gauge theory. J. Math.Phys. 59 , 083505 (2018)
    arXiv:1803.11077    doi:10.1063/1.5031115

  • F.Fürstenberg, G.Rudolph, M.Schmidt: Defining relations for the orbit type strata of SU(2)-lattice gauge models. J.Geom.Phys. 119 (2017) 66-81
    arXiv:1702.01047    doi:10.1016/j.geomphys.2017.04.010

  • H. Grundling, G. Rudolph: Dynamics for QCD on an infinite lattice. Commun. Math. Phys. 349 (2017) 1163-1202
    arXiv:1512.06319    doi:10.1007/s00220-016-2733-5

  • M. Hofmann, G. Rudolph, M. Schmidt: On the reflection type decomposition of the adjoint reduced phase space of a compact semisimple Lie group. J. Math. Phys. 54 (2013) 083505
    arXiv:1302.6118    doi:10.1063/1.4817066

  • H. Grundling, G. Rudolph: QCD on an infinite lattice. Commun. Math. Phys. 318 (2013) 717-766
    arXiv:1108.2129    doi:10.1007/s00220-013-1674-5

  • A. Hertsch, G. Rudolph and M. Schmidt: Gauge orbit types for theories with gauge group O(n), SO(n) or Sp(n). Ann. Inst. H. Poincaré 12 , No. 2 (2011) 351-395
    doi:10.1007/s00023-011-0081-8

  • P.D. Jarvis, G. Rudolph and L.A. Yates: A class of quadratic deformations of Lie superalgebras. J. Phys. A: Math. Theor. 44 (2011) 235205
    arXiv:1010.3765    doi:10.1088/1751-8113/44/23/235205

  • A. Hertsch, G. Rudolph, M. Schmidt: Gauge orbit types for theories with classical compact gauge groups. Rep. Math. Phys. 66 , No. 3 (2010) 331-353
    arXiv:0812.0228    doi:10.1016/S0034-4877(11)00004-8

  • G. Rudolph, M. Schmidt: On the algebra of quantum observables for a certain gauge model. J. Math. Phys. 50 , 052102 (2009)
    arXiv:0807.4646    doi:10.1063/1.3125184

  • J. Huebschmann, G. Rudolph, M. Schmidt: A lattice gauge model for quantum mechanics on a stratified space. Commun. Math. Phys. 286 (2009) 459-494
    arXiv:hep-th/0702017    doi:10.1007/s00220-008-0693-0

  • S. Charzyński, G. Rudolph, M. Schmidt: On the topology of the reduced classical configuration space of lattice QCD. J. Geom. Phys. 58 (2008) 1607-1623
    arXiv:hep-th/0512129    doi:10.1016/j.geomphys.2008.07.005

  • E. Fischer, G. Rudolph, M. Schmidt: A lattice gauge model of singular Marsden-Weinstein reduction. Part I. Kinematics J. Geom. Phys. 57 (2007) 1193-1213
    arXiv:hep-th/0606132    doi:10.1016/j.geomphys.2006.09.008

  • Sz. Charzyński, J. Kijowski, G. Rudolph and M. Schmidt: On the stratified classical configuration space of lattice QCD. J. Geom. Phys. 55 (2005) 137-178
    arXiv:hep-th/0409297    doi:10.1016/j.geomphys.2004.12.002

  • J. Kijowski and G. Rudolph: The observable algebra of lattice QCD. Rep. Math. Phys. 55 , No. 2 (2005) 199-210
    doi:10.1016/S0034-4877(05)00013-3

  • P.D. Jarvis, J. Kijowski and G. Rudolph: On the structure of the observable algebra of QCD on the lattice. J. Phys. A: Math. Gen. 38 (2005) 5359-5377
    arXiv:hep-th/0412143    doi:10.1088/0305-4470/38/23/020

  • J. Kijowski and G. Rudolph: Charge superselection sectors for QCD on the lattice. J. Math. Phys. 46 , 032303 (2005)
    arXiv:hep-th/0404155    doi:10.1063/1.1851604

  • P. Jarvis and G. Rudolph: Polynomial super-gl(n) algebras. J. Phys. A, 36 , No. 20, (2003) 5531-5555
    arXiv:hep-th/0301209    doi:10.1088/0305-4470/36/20/311

  • J. Kijowski, G. Rudolph and C. Śliwa: Charge superselection sectors for scalar QED on the lattice. Ann. Inst. H. Poincaré 4 (2003) 1137
    arXiv:hep-th/0203214    doi:10.1007/s00023-003-0158-0

  • R. Matthes, O. Richter and G. Rudolph: Spectral triples and differential calculi related to the Kronecker foliation. J. Geom. Phys. 46 , (2003), 48-73
    arXiv:math-ph/0201066    doi:10.1016/S0393-0440(02)00136-5

  • G. Rudolph, M. Schmidt: On the orbit types of the action of the gauge group on connections modulo pointed gauge transformations. Rep. Math. Phys. 50 (2002), 99-110
    arXiv:math-ph/0104026    doi:10.1016/S0034-4877(02)80047-7

  • J. Kijowski, G. Rudolph: On the Gauss law and global charge for QCD. J. Math. Phys. 43 , No. 4 (2002) 1796-1808
    arXiv:hep-th/0104052    doi:10.1063/1.1447310

  • G. Rudolph, M. Schmidt and I.P. Volobuev: On the gauge orbit space stratification: a review. J. Phys. A: Math. Gen. 35 (2002) R1-R50
    arXiv:hep-th/0203027    doi:10.1088/0305-4470/35/28/201

  • G. Rudolph, M. Schmidt and I.P. Volobuev: Partial ordering of gauge orbit types for SUn-gauge theories. J. Geom. Phys. 42 (2002) 106-138
    arXiv:math-ph/0009018    doi:10.1016/S0393-0440(01)00080-8

  • G. Rudolph, M. Schmidt and I.P. Volobuev: Classification of gauge orbit types for SUn-gauge theories. J. Math. Phys. Anal. Geom. 5 , (2002), 201-241
    arXiv:math-ph/0003044    doi:10.1023/A:1020968206969

  • J. Kijowski, G. Rudolph, M. Rudolph: Towards an effective field theory of QED. Acta Phys. Polon. B 31 , n. 4 (2000) 847-861
    arXiv:hep-th/9909113    PDF

  • G. Rudolph, T. Tok, I.P. Volobuev: Exact solutions in Einstein-Yang-Mills-Dirac systems. J. Math. Phys. 40 , 11 (1999) 5890-5904
    arXiv:gr-qc/9707060    doi:10.1063/1.533061

  • J. Kijowski, G. Rudolph, M. Rudolph: Gauge invariant formulation and bosonization of the Schwinger model. Phys. Lett. B 419 (1998) 285-290
    arXiv:hep-th/9710003    doi:10.1016/S0370-2693(97)01486-X

  • J. Kijowski, G. Rudolph, C. Śliwa: On the structure of the observable algebra for QED on the lattice. Lett. Math. Phys. 43 (1998) 299-308
    doi:10.1023/A:1007400816358

  • J. Kijowski, G. Rudolph, M. Rudolph: Effective bosonic degrees of freedom for one-flavour chromodynamics. Ann. Inst. H. Poincaré 68 , No. 3 (1998) 285-313
    arXiv:hep-th/9606020    PDF

  • J. Kijowski, G. Rudolph, M. Rudolph: On the algebra of gauge invariants for one-flavour chromodynamics. Rep. Math. Phys. 40 , No. 1 (1997) 131-142
    doi:10.1016/S0034-4877(97)85624-8

  • J. Kijowski, G. Rudolph, A. Thielmann: Algebra of observables and charge superselection sectors for QED on the lattice. Commun. Math. Phys. 188 (1997) 535-564
    doi:10.1007/s002200050178

  • G. Rudolph, T. Tok: A certain class of Einstein-Yang-Mills systems. Rep. Math. Phys. 39 , No. 3 (1997) 433-466
    arXiv:gr-qc/9603017    doi:10.1016/S0034-4877(97)89758-3

  • G. Rudolph, T. Tok, I.P. Volobuev: Exact solutions of the Reissner-Nordström type in Einstein-Yang- Mills systems with arbitrary gauge groups and space-time dimensions. Int. J. Mod. Phys. A 11 , No. 28 (1996) 4999-5014
    arXiv:gr-qc/9602006    doi:10.1142/S0217751X96002303

  • G. Rudolph, I.P. Volobuev: Construction of grand unified models by dimensional reduction. Int. J. Mod. Phys. A 11 , No. 12 (1996) 2127-2141
    doi:10.1142/S0217751X96001073

  • R. Matthes, G. Rudolph, R. Wulkenhaar: On the structure of a differential algebra used by Connes and Lott. Rep. Math. Phys. 38 , No.1 (1996) 45-66
    doi:10.1016/0034-4877(96)87677-4

  • R. Matthes, G. Rudolph, R. Wulkenhaar: On a certain construction of graded Lie algebras with derivations. J. Geom. Phys. 20 (1996) 107-141
    doi:10.1016/0393-0440(95)00048-8

  • J. Kijowski, G. Rudolph, M. Rudolph: Functional integral of QED in terms of gauge invariant quantities. Lett. Math. Phys. 33 (1995) 139-146
    doi:10.1007/BF00739802

  • A. Bohm, L.J. Boya, A. Mostafazadeh, G. Rudolph: Classification theorem for principal fibre bundles, Berry's phase and exact cyclic evolution. J. Geom. Phys. 12 (1993) 13-28
    doi:10.1016/0393-0440(93)90085-S

  • J. Kijowski, G. Rudolph: Spinor electrodynamics in terms of gauge invariant quantities. Lett. Math. Phys. 29 (1993) 103-109
    doi:10.1007/BF00749726

  • Yu.A. Kubyshin, O. Richter, G. Rudolph: Invariant connections on homogeneous spaces. J. Math. Phys. 34 (11) (1993) 5268-5282
    doi:10.1063/1.530303

  • O. Richter, G. Rudolph: Torsion and spontaneous compactification. Int. J. Mod. Phys. A 8 , No.11 (1993) 1903-1921
    doi:10.1142/S0217751X93000795

  • J. Dittmann, G. Rudolph: On a connection governing parallel transport along 2x2-density matrices. J. Geom. Phys. 10 (1992) 93-106
    doi:10.1016/0393-0440(92)90008-O

  • J. Dittmann, G. Rudolph: A class of connections governing parallel transport along density matrices. J. Math. Phys. 33 (12) (1992) 4148-4154
    doi:10.1063/1.529813

  • Yu.A. Kubyshin, O. Richter, G. Rudolph: On the equations of spontaneous compactification for Gauss-Bonnet extended Einstein-Cartan theory. Rep. Math. Phys. 30 , No. 3 (1992) 355-361
    doi:10.1016/0034-4877(91)90064-T

  • G. Rudolph: The functional integral on the lattice gauge orbit space. Ann. d. Physik, 7.Folge, Band 47, Heft 2/3 (1990) 211-218
    doi:10.1002/andp.19905020217

  • Yu. A. Kubyshin, G. Rudolph, I.M. Mourão, I.P. Volobuev: Dimensional reduction of symmetric gauge fields, Higgs models and spontaneous compactification. Fiz. Elem. Cast. i Atomn. Yadra 20 , 3 (1989) 561-627 (in Russian)

  • J. Kijowski, G. Rudolph: The functional integral on the gauge orbit space for a non-Abelian Higgs model. Nucl. Phys. B 325 (1989) 211-244
    doi:10.1016/0550-3213(89)90379-9

  • G. Rudolph, I.P. Volobuev: Some remarks on dimensional reduction of gauge theories and model building. Nucl. Phys. B 313 (1989) 95-115
    doi:10.1016/0550-3213(89)90515-4

  • G.Rudolph: Gauge invariant quantities for a Higgs-model with gauge group SU(3). Lett. Math. Phys. 16 (1988) 27-37
    doi:10.1007/BF00398168

  • J. Kijowski, G. Rudolph: A non-Abelian Higgs model on the lattice in terms of a complete system of gauge invariants. Lett. Math. Phys. 15 (1988) 119-127
    doi:10.1007/BF00397832

  • G. Rudolph: Remarks on the problem of lifting space-time symmetries. Lett. Math. Phys. 14 (1987) 133-138
    doi:10.1007/BF00420303

  • G. Rudolph: Classification of G-invariant configurations of Einstein-Cartan-theory on a multidimensional universe. J. Geom. Phys. 4 , No. 1 (1987) 39-49
    doi:10.1016/0393-0440(87)90010-6

  • J. Kijowski, G. Rudolph, A. Thielmann: Symplectic structure of a non-Abelian Higgs model on the lattice. Rep. Math. Phys. 24 , No. 3 (1986) 377-384
    doi:10.1016/0034-4877(86)90011-X

  • G. Rudolph, I.P. Volobuev: Geometrical approach to dimensional reduction of symmetric gauge fields. Teor. Mat. Fiz. 62 , 3 (1985) 388-399; in English: 1985 Plenum Publ. Corp. 261-268
    doi:10.1007/BF01018267

  • J. Kijowski, G. Rudolph: New lattice approximation of gauge theories. Phys. Rev. D 31 , No. 4 (1985) 856-864
    doi:10.1103/PhysRevD.31.856

  • J. Kijowski, G. Rudolph: On the hydrodynamical description of gauge theories. J. Geom. Phys. 2 , No. 1 (1985) 25-33
    doi:10.1016/0393-0440(85)90017-8

  • J. Kijowski, G. Rudolph: Hydrodynamical description of theories of gauge fields interacting with matter fields. Rep. Math. Phys. 21 , No. 3 (1985) 309-329
    doi:10.1016/0034-4877(85)90035-7

  • J. Dittmann, G. Rudolph: Canonical realizations of Lie algebras associated with foliated coadjoint orbits. Ann. Inst. H. Poincaré 43 , No. 3 (1985) 251-267
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  • J. Kijowski, G. Rudolph: Canonical structure of the theory of gauge fields interacting with matter fields. Rep. Math. Phys. 20 , No. 3 (1984) 385-400
    doi:10.1016/0034-4877(84)90046-6

  • J. Dittmann, G. Rudolph: Konstruktion kanonischer Realisierungen der Lie-Algebra Sp(n,R) auf koadjungierten Orbits. Wiss. Z. KMU 33 , Nr. 1 (1984) 4-13
    PDF

  • J. Kijowski, G. Rudolph: Gitterapproximation der skalaren Elektrodynamik. Wiss. Z. KMU 30 , Nr. 6 (1981) 613-621
    PDF

  • J. Kijowski, G. Rudolph: On the Localization Problem in Relativistic Quantum Mechanics. Bull. Acad. Pol. d. Sc., Vol. XXIV, No. 11 (1976) 1041-1048
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    Contributions to conference proceedings

  • J. Huebschmann, G. Rudolph, M. Schmidt: Quantum mechanical tunneling on a space with singularities. Proc. of the VIIth International Workshop Lie Theory and Its Applications in Physics , Varna 2007, ed. H.-D. Doebner and V.K. Dobrev, Heron Press Science Series, Sofia 2008, pp. 190-210

  • G. Rudolph: On the observable algebra and its representations for lattice QCD. Proc. of the IVth International Symposium Quantum Theory and Symmetries IV , Varna 2005, Vol. 2, ed. V.K. Dobrev, Heron Press Science Series, Sofia 2006, pp. 429-441

  • J. Kijowski, G. Rudolph: How to define coulor charge in quantum chromodynamics. In Group 24: Physical and Mathematical Aspects of Symmetries, proc. of the 24th International Colloquium on Group Theoretical Methods in Physics, Paris 2002, eds. J.-P. Gazeau et.al., Institute of Physics, Conference Series Number 173 (2003) 359-362

  • R. Matthes, O. Richter and G. Rudolph: Generalized signature operators and spectral triples for the Kronecker foliation. In: P.M. Hajac and W. Pusz (eds.), Noncommutative Geometry and Quantum Groups, Banach Center Publications 61 (2003) 125-147

  • J. Kijowski, G. Rudolph: On the notion of global charge in QCD. Rep. Math. Phys. 49 (2002) 211-224

  • G. Rudolph, M. Schmidt, I. P. Volobuev: On the gauge orbit space stratification. Proc. of the 2nd International Symposium Quantum Theory and Symmetries, Krakow 2001, eds. E. Kapuscik and A. Horzela, pp. 553-558

  • R. Matthes, O. Richter, G. Rudolph: Spectral triples for the Kronecker foliation. Proc. of the 2nd International Symposium Quantum Theory and Symmetries , Krakow 2001, eds. E. Kapuscik and A. Horzela, pp. 481-486

  • J. Kijowski, G. Rudolph: Global Gauss law for lattice QCD. Proc. of the 2nd International Symposium Quantum Theory and Symmetries , Krakow 2001, eds. E. Kapuscik and A. Horzela, pp. 96-105

  • G. Rudolph, M. Schmidt, I.P. Volobuev: Some remarks on the gauge orbit space. Proc. of the International Symposium on Quantum Theory and Symmetries, Goslar 1999, eds.: H.-D. Doebner et. al., World Scientific 2000, pp. 577-582

  • G. Rudolph, M. Schmidt, I.P. Volobuev: Howe dual pairs and the structure of the gauge orbit space. Proc. of the XIVth Workshop on High Energy Physics and Quantum Field Theory, Moscow 1999, ed.: B.B. Levtchenko, Moscow University 2000, pp. 467-472

  • G. Rudolph, T. Tok, I.P. Volobuev: Cosmological solutions with gauge and spinor fields. Proc. of the XIIth Workshop on High Energy Physics and Quantum Field Theory, Samara 1997, ed.: B.B. Levtchenko, Moscow University 1999, pp. 376-388

  • J. Kijowski, G. Rudolph, M. Rudolph: Gauge invariants and bosonization. Proc. of the Conference Particles, Fields, and Gravitation , ed.: J. Rembielinski, AIP Conference Proceedings 453, Woodbury, Lodz 1998, pp. 382-393

  • G. Rudolph, T. Tok, I.P. Volobuev: Reissner-Nordström solutions in Einstein-Yang-Mills systems. Proceedings of the XIth Workshop on High Energy Physics and Quantum Field Theory, Sankt-Petersburg 1996, ed.: B.B. Levtchenko, Moscow University 1997, pp. 361-367

  • J. Kijowski, G. Rudolph: Algebra of observables for QED on a finite lattice. Proc. of the 2nd International Workshop Lie Theory and its Applications in Physics II , eds.: H.-D. Doebner, V.K. Dobrev and J. Hilgert, World Scientific 1998, pp. 230-242

  • J. Kijowski, G. Rudolph: Charge superselection sectors for QED on the lattice. Proc. of the 5th Wigner Symposium, Wien 1997, eds.: P. Kasperkovitz, D. Grau, World Scientific 1998, pp. 216-218

  • J. Kijowski, G. Rudolph: Lattice approximation of quantum electrodynamics. In New Developments in Quantum Field Theory , Nato ASI Series B, Vol. 366, eds.: P.H. Damgaard, J. Jurkiewicz, Plenum Press 1998

  • G. Rudolph, T. Tok, I.P. Volobuev: Exact solution of Reissner-Nordström type in Einstein-Yang-Mills theory. Proc. of Group21, Physical Applications and Mathematical Aspects of Geometry, Groups and Algebras, Vol. 2, Goslar 1996, eds.: H.-D. Doebner, W. Scherer, J. Hilgert, World Scientific 1997, pp. 653-655

  • J. Kijowski, G. Rudolph, M. Rudolph: Gauge theories with fermions in terms of gauge invariants. Proc. of Group21, Physical Applications and Mathematical Aspects of Geometry, Groups and Algebras, Vol. 2, Goslar 1996, eds.: H.-D. Doebner, W. Scherer, J. Hilgert, World Scientific 1997, pp. 639-643

  • J. Kijowski, G. Rudolph, M. Rudolph: Gauge theories in terms of invariants. Proc. of the XXIXth Symposium on Mathematical Methods in Physics, Torun 1996, Rep. Math. Phys. 40 , Nr. 3 (1997) 565-578

  • R. Matthes, G. Rudolph, R. Wulkenhaar: Graded Lie algebras with derivation and model building. Proc. of the Workshop Lie Theory and Its Physical Application , Clausthal 1995, eds.: H.-D. Doebner, V.K. Dobrev, J. Hilgert, World Scientific 1996, pp. 149-158

  • R. Matthes, G. Rudolph, R. Wulkenhaar: On certain graded Lie algebras arising in noncommutative geometry. Acta Phys. Polon. B 27 , Nr. 10 (1996) 2755-2762, Proc. of the 2nd German-Polish Symposium New Ideas in the Theory of Fundamental Interactions , Zakopane 1996

  • G. Rudolph, I.P. Volobuev: Flipped SU(5)-grand unified model in the dimensional reduction method. Proc. of the Zvenigorod Workshop, ed.: B.B. Levtchenko, Moscow University 1994, pp. 161-165

  • J. Kijowski, G. Rudolph: Quantization of nonabelian gauge theories. Proc. of the 1st Polish-German Meeting on Particles and Fields, Rydzyna 1992, ed.: H.D. Doebner, M. Pawlowski, R. Raczka, World Scientific 1994, pp. 73-82

  • O. Richter, G. Rudolph: On Dimensional reduction of gravity with torsion. Class. Quant. Grav. 10 (1993) S127-S134

  • J. Dittmann, G. Rudolph: On a certain class of connections in the U(n)-bundle over density matrices. Proc. of the II. Wigner-Symposium, Goslar 1991, ed.: H.D. Doebner, W. Scherer, F. Schroeck jr., World Scientific 1992,

  • J. Kijowski, G. Rudolph: Quantization on the gauge orbit space. Proc. of the II. Wigner-Symposium, Goslar 1991, ed.: H.D. Doebner, W. Scherer, F. Schroeck jr., World Scientific 1992, pp. 688-694

  • J. Kijowski, G. Rudolph: Gauge invariant path integral and topological degrees of freedom for a non-Abelian Higgs model. Proc. of XVII. Int. Conf. on Diff. Geom. Methods, Chester 1988, World Scientific 1990, pp. 116-129

  • G. Rudolph: Group-theoretical aspects of dimensional reduction. Proc. of the XVI. Int.Coll. on Group-Theoretical Methods in Physics, Varna 1987, Lect. Notes in Phys. 313 , pp. 485-497

  • G. Rudolph: On dimensional reduction of Einstein-Cartan theory. Proc. of Ahrenshoop-Coll. on High Energy Phys., 1986, pp. 215-225

  • G. Rudolph: Construction of gauge invariant quantities for a non-Abelian Higgs-model on the lattice. Proc. of the Conf. on High Energy Physics and Quantum Field Theory, Protvino 1986, pp. 98-109

  • G. Rudolph: Lattice approximation of a non-Abelian Higgs model. In Topics in Quantum Field Theory and Spectral Theory , Akad. d. Wiss. d. DDR, Berlin 1986, pp. 146-155

  • J. Dittmann, G. Rudolph: Geometrical construction of canonical realizations of Lie-algebras. Proc. of XIII. Int. Conf. in Theor. Phys., Shumen 1984, World Sci. Publ., pp. 25-37

  • G. Rudolph, I.P. Volobuev: Dimensional reduction of gauge theories in terms of fibre bundle reduction. Proc. of Int. Conf. on Diff. Geom. and Appl., Nove Mesto 1983, pp. 239-245

  • J. Dittmann, G. Rudolph: Canonical realizations of Lie-algebras related to associated bundles. Proc. of Int. Conf. on Diff. Geom. and Appl., Nove Mesto 1983, pp. 51-59