Non-commutative geometry of finite groups

Journal of Physics A: Mathematical and General

Volumn 29, Issue 11, 1996, Pages 2705-2735

  Bresser, Klaus ^a   Müller Hoissen, Folkert ^a   Dimakis, Aristophanes ^b   Sitarz, Andrzej ^c  

^a Institut fur Theoretische Physik   (Germany)

^b UNIVERSITY OF CRETE   (Greece)

^c JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000921537     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/11/010     Document Type: Article

References (29)

1. Connes A 1994 Noncommutative Geometry (San Diego, CA: Academic)
2. Madore J 1995 Introduction to Non-commutative Geometry and its Physical Applications (Cambridge: Cambridge University Press)
3. Hermann R 1977 Quantum and Fermion Differential Geometry, Part A Interdisciplinary Mathematics vol XVI (Brookline, MA: Math. Sci.)
4. Baehr H C, Dimakis A and Müller-Hoissen F 1995 Differential calculi on commutative algebras J. Phys. A: Math. Gen. 28 3197
5. Müller-Hoissen F 1995 Physical aspects of differential calculi on commutative algebras Quantum Groups ed J Lukierski, Z Popowicz and J Sobczyk (Warsaw: Polish Science) p 267
6. Dimakis A and Müller-Hoissen F 1994 Discrete differential calculus, graphs, topologies and gauge theory J. Math. Phys. 35 6703
7. Dimakis A, Müller-Hoissen F and Vanderseypen F 1995 Discrete differential manifolds and dynamics on networks J. Math. Phys. 36 3771
8. Mack G 1995 Gauge theory of things alive Nucl. Phys. B (Proc. Suppl.) 42 923;
9. 1994 Universal dynamics of complex adaptive systems: gauge theory of things alive Preprint DESY 94-075
10. Woronowicz S L 1989 Differential calculus on compact matrix pseudogroups (quantum groups) Comm. Math. Phys. 122 125
11. Sitarz A 1994 Noncommutative geometry and gauge theory on discrete groups J. Geom. Phys. 15 1
12. Dimakis A and Müller-Hoissen F 1994 Differential calculus and gauge theory on finite sets J. Phys. A: Math. Gen. 27 3159
13. Dimakis A, Müller-Hoissen F and Striker T 1993 Noncommutative differential calculus and lattice gauge theory J. Phys. A: Math. Gen. 26 1927
14. Connes A and Lott J 1990 Particle models and non-commutative geometry Nucl. Phys. B (Proc. Suppl.) 18 29
15. Chamseddine A H, Felder G and Fröhlich J 1993 Gravity in non-commutative geometry Comm. Math. Phys. 155 205
16. Passman D 1968 Permutation Groups (New York: Benjamin)
17. Cuntz J and Quillen D 1995 Algebra extensions and nonsingularity J. Am. Math. Soc. 8 251
18. Connes A 1985 Non-commutative differential geometry Inst. Hautes Études Sci. Publ. Math. 62 257
19. q (n) Preprint q-alg/9507002
20. Eisenhart L P 1961 Continuous Groups of Transformations (New York: Dover)
21. Mourad J 1995 Linear connections in non-commutative geometry Class. Quantum Grav. 12 965
22. Dubois-Violette M, Madore J, Masson T and Mourad J 1995 Linear connections on the quantum plane Lett. Math. Phys. 35 351
23. Dimakis A and Müller-Hoissen F 1993 A non-commutative differential calculus and its relation to gauge theory and gravitation Int. J. Mod. Phys. A (Proc. Suppl.) A 3 474;
24. 1992 Noncommutative differential calculus, gauge theory and gravitation Preprint Göttingen GOE-TP 33/92
25. Dimakis A and Tzanakis C 1995 Non-commutative geometry and kinetic theory of open systems, hep-th/9508035
26. Dubois-Violette M and Masson T 1995 On the first order operators in bimodules, q-alg/9507028
27. Schmüdgen K 1994 Classification of bicovariant differential calculi on quantum general linear groups Leipzig Preprint 6/94
28. Sweedler M E 1969 Hopf Algebras (New York: Benjamin)
29. Dubois-Violette M and Michor P W 1995 Connections on central bimodules, q-alg/9503020