The monoidal center construction and bimodules

Journal of Pure and Applied Algebra

Volumn 158, Issue 2-3, 2001, Pages 325-346

  Schauenburg, Peter ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

16W30; 18D10

Indexed keywords

EID: 0012383625     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(00)00040-2     Document Type: Article

References (13)

1. Benabou J., Roubaud J. Monades et descente. C.R. Acad. Sci. Paris, Série A. 270:1970;96-98.
2. Doi Y., Takeuchi M. Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras. J. Algebra. 121:1989;488-516.
3. Joyal A., Street R. Tortile Yang-Baxter operators in tensor categories. J. Pure Appl. Algebra. 71:1991;43-51.
4. C. Kassel, Quantum Groups, GTM, Vol. 155, Springer, Berlin, 1995.
5. Majid S. Algebras and Hopf algebras in braided categories. Bergen J., Montgomery S. Advances in Hopf Algebras. 1994;55-105 Marcel Dekker, New York.
6. Y.I. Manin, Quantum Groups and Non-Commutative Geometry, Les Publications CRM, Université de Montréal, 1988.
7. Pareigis B. Non-additive ring and module theory I. General theory of monoids. Publ. Math. Debrecen. 24:1977;189-204.
8. Pareigis B. Non-additive ring and module theory II. C -categories, C -functors and C -morphisms Publ. Math. Debrecen. 24:1977;351-361.
9. Pareigis B. On braiding and dyslexia. J. Algebra. 171:1995;413-425.
10. Schauenburg P. Hopf bimodules over Hopf-Galois-extensions, Miyashita-Ulbrich actions, and monoidal center constructions. Comm. Algebra. 24:1996;143-163.
11. Schauenburg P. Bialgebras over noncommutative rings and a structure theorem for Hopf bimodules. Appl. Categorical Struct. 6:1998;193-222.
12. Turaev V.G. Quantum Invariants of Knots and. 3 -Manifolds:1994;W. de Gruyter, Berlin.
13. Ulbrich K.-H. Galoiserweiterungen von nicht-kommutativen Ringen. Comm. Algebra. 10:1982;655-672.