Galois extensions of braided tensor categories and braided crossed G-categories

Journal of Algebra

Volumn 277, Issue 1, 2004, Pages 256-281

  Müger, Michael ^a,b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b Korteweg de Vries Inst V Wiskunde   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3142707944     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2004.02.026     Document Type: Article

References (38)

1. Bakalov B. Kirillov A. Jr. Lectures on Tensor Categories and Modular Functors 2001 Amer. Math. Soc.
2. Barrett J.W. Westbury B.W. Spherical categories Adv. Math. 143 1999 357-375
3. Bruguières A. Catégories prémodulaires, modularisations et invariants de variétés de dimension 3 Math. Ann. 316 2000 215-236
4. Carrasco P. Moreno J.M. Categorical G-crossed modules and 2-fold extensions J. Pure Appl. Algebra 163 2001 235-257
5. Deligne P. Catégories tannakiennes Cartier P. et al. (Eds.). Grothendieck Festschrift vol. II 1991 111-195 Birkhäuser Basel
6. Deligne P. Catégories tensorielles Mosc. Math. J. 2 2002 227-248
7. Dijkgraaf R. Vafa C. Verlinde E. Verlinde H. The operator algebra of orbifold models Comm. Math. Phys. 123 1989 485-527
8. Doplicher S. Roberts J.E. A new duality theory for compact groups Invent. Math. 98 1989 157-218
9. Etingof P. Nikshych D. Ostrik V. On fusion categories arXiv: math.QA/0203060
10. Fredenhagen K. Rehren K.-H. Schroer B. Superselection sectors with braid group statistics and exchange algebras I. General theory Comm. Math. Phys. 125 1989 201-226
11. Fröhlich J. Kerler T. Quantum Groups, Quantum Categories and Quantum Field Theory Lecture Notes in Math. vol. 1542 1993 Springer-Verlag New York
12. Fuchs J. Schweigert C. Category theory for conformal boundary conditions Fields Inst. Commun. 39 2003 25-71
13. Ghez P. Lima R. Roberts J.E. W*-categories Pacific J. Math. 120 1985 79-109
14. Haag R. Local Quantum Physics second ed. 1996 Springer-Verlag New York
15. Joyal A. Street R. Braided tensor categories Adv. Math. 102 1993 20-78
16. Kassel C. Quantum Groups 1995 Springer-Verlag New York
17. Kawahigashi Y. Longo R. Müger M. Multi-interval subfactors and modularity of representations in conformal field theory Comm. Math. Phys. 219 2001 631-669
18. Kirillov A. Jr. Ostrik V. On q-analog of McKay correspondence and ADE classification of sl(2) conformal field theories Adv. Math. 171 2002 183-227
19. Kirillov A. Jr. Modular categories and orbifold models I & II Comm. Math. Phys. 229 2002 309-335 arXiv: math.QA/0110221
20. Le Thang, Turaev V. Quantum groups and ribbon G-categories J. Pure Appl. Algebra 178 2003 169-185
21. Longo R. Roberts J.E. A theory of dimension K-Theory 11 1997 103-159
22. Mac Lane S. Categories for the Working Mathematician second ed. 1998 Springer-Verlag Berlin
23. Moore G. Seiberg N. Classical and quantum conformal field theory Comm. Math. Phys. 123 1989 177-254
24. Müger M. Galois theory for braided tensor categories and the modular closure Adv. Math. 150 2000 151-201
25. Müger M. Conformal field theory and Doplicher-Roberts reconstruction Longo R. (Ed.). Mathematical Physics in Mathematics and Physics: Quantum and Operator Algebraic Aspects Fields Inst. Commun. 20 2001 297-319
26. Müger M. From subfactors to categories and topology I. Frobenius algebras in and Morita equivalence of tensor categories J. Pure Appl. Algebra 180 2003 81-157
27. Müger M. On the structure of modular categories Proc. London Math. Soc. 87 2003 291-308
28. Müger M. Conformal orbifold theories and braided crossed G-categories arXiv: math.QA/0403322
29. M. Müger, L. Tuset, Regular representations of algebraic quantum groups and embedding theorems, in preparation
30. Pareigis B. Non-additive ring and module theory V Algebra Ber. 40 1980
31. Pareigis B. On braiding and dyslexia J. Algebra 171 1995 413-425
32. Rehren K.-H. Space-time fields and exchange fields Comm. Math. Phys. 132 1990 461-483
33. Turaev V.G. Quantum Invariants of Knots and 3-Manifolds 1994 de Gruyter Berlin
34. Turaev V.G. Homotopy field theory in dimension 3 and crossed group-categories arXiv: math.GT/0005291
35. Yamagami S. Group symmetry in tensor categories and duality for orbifolds J. Pure Appl. Algebra 167 2002 83-128
36. Yamagami S. Tannaka duals in semisimple tensor categories J. Algebra 253 2002 350-391
37. S. Yamagami, Frobenius duality in C*-tensor categories, preprint
38. Yetter D.N. Framed tangles and a theorem of Deligne on braided deformations of tannakian categories Contemp. Math. 134 1992 325-350