The Long Dimodules Category and Nonlinear Equations

Algebras and Representation Theory

Volumn 2, Issue 2, 1999, Pages 177-200

  Militaru, G ^a  

^a UNIVERSITY OF BUCHAREST   (Romania)

Author keywords

Bialgebras; Equations; Long dimodules

Indexed keywords

EID: 0001074856     PISSN: 1386923X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009905324871     Document Type: Article

References (16)

1. Abe, E.: Hopf Algebras, Cambridge University Press, Cambridge, 1977.
2. Baaj, S. and Skandalis, G.: Unitaries multiplicatifs et dualité pour les produits croises de C*-algèbres, Ann. Sci. Ecole Norm. Sup. 26 (1993), 425-488.
3. Caenepeel, C., Militaru, G. and Zhu, S.: Crossed modules and Doi-Hopf modules, Israel J. Math. 100 (1997), 221-247.
4. Caenepeel, S., Militaru, G. and Zhu, S.: Doi-Hopf modules, Yetter-Drinfel'd modules and Frobenius type properties, Trans. Amer. Math. Soc. 349 (1997), 4311-4342.
5. Caenepeel, S., Van Oystaeyen, F. and Zhou, B.: Making the category of Doi-Hopf modules into a braided monoidal category, Algebras Represent. Theory 1 (1998), 75-96.
6. Doi, Y.: Unifying Hopf modules, J. Algebra 153 (1992), 373-385.
7. Faddeev, L. D., Reshetikhin, N. Y. and Takhtajan, L. A.: Quantization of Lie groups and Lie algebras, LOMI preprint E-14-87.
8. Kassel, C.: Quantum Groups, Springer-Verlag, Berlin, 1995.
9. Lambe, L. A. and Radford, D.: Algebraic aspects of the quantum Yang-Baxter equation, J. Algebra 54 (1992), 228-288.
10. Long, F. W.: The Brauer group of dimodule algebras, J. Algebra 31 (1974), 559-601.
11. Militaru, G.: The Hopf modules category and the pentagonal equations, Comm. Algebra 26 (1998), 3071-3097.
12. Montgomery, S.: Hopf Algebras and their Actions on Rings, Amer. Math. Soc., Providence, 1993.
13. Radford, D.: Solutions to the quantum Yang-Baxter equation and the Drinfel'd double, J. Algebra 161 (1993), 20-32.
14. Radford, D.: Solutions to the quantum Yang-Baxter equation arising from pointed bialgebras, Trans. Amer. Math. Soc. 343 (1994), 455-477.
15. Takesaki, M.: Duality and von Neumann algebras, In: Lecture Notes in Math. 247, Springer-Verlag, New York, 1972, pp. 665-779.
16. Yetter, D. N.: Quantum groups and representations of monoidal categories, Math. Proc. Cambridge Philos. Soc. 108 (1990), 261-290.