Centre of an algebra

Advances in Mathematics

Volumn 225, Issue 1, 2010, Pages 319-348

  Davydov, Alexei ^a  

^a MACQUARIE UNIVERSITY   (Australia)

Author keywords

Commutative algebras in braided monoidal categories.; Module categories; Monoidal categories

Indexed keywords

EID: 77954314024     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2010.02.018     Document Type: Article

References (16)

1. Barrett J.W., Westbury B.W. Spherical categories. Adv. Math. 1999, 143:357-375.
2. Davydov A. Galois algebras and monoidal functors between categories of representation of finite groups. J. Algebra 2001, 244(1).
3. Davydov A. Modular invariants for group-theoretic modular data. J. Algebra 2010, 323:1321-1348. http://arxiv.org/abs/0908.1044.
4. Day B., Kelly M. Enriched functor categories. Reports of the Midwest Category Seminar III 1969, 178-191. Springer, Berlin.
5. Fröhlich J., Fuchs J., Runkel I., Schweigert C. Correspondences of ribbon categories. Adv. Math. 2006, 199(1):192-329.
6. Joyal A., Street R. Braided tensor categories. Adv. Math. 1993, 102(1):20-78.
7. Kong L., Runkel I. Morita classes of algebras in modular tensor categories. Adv. Math. 2008, 219:1548-1576.
8. Mac Lane S. Categories for the Working Mathematician 1998, Springer.
9. Moore G., Seiberg N. Polynomial equations for rational conformal field theories. Phys. Lett. B 1988, 212(4):451-460.
10. Müger M. From subfactors to categories and topology. II. The quantum double of tensor categories and subfactors. J. Pure Appl. Algebra 2003, 180(1-2):159-219.
11. Ostrik V. Module categories, weak Hopf algebras and modular invariants. Transform. Groups 2003, 8(2):177-206.
12. Ostrik V. Module categories over the Drinfeld double of a finite group. Int. Math. Res. Not. 2003, 27:1507-1520.
13. Quillen D. High algebraic K-theory I. Lecture Notes in Mathematics 1973, vol. 341:85-147. Springer-Verlag.
14. M. Shum, Tortile tensor categories, Ph.D. thesis, Macquarie University, 1989.
15. Turaev V. Quantum invariants of knots and 3-manifolds. De Gruyter Studies in Mathematics 1994, vol. 18:588. Walter de Gruyter, Berlin.
16. Van Oystaeyen F., Zhang Y.H. The Brauer group of a braided monoidal category. J. Algebra 1998, 202:96-128.