Cocycle Deformations of Coordinate Rings of Quantum Matrices

Journal of Algebra

Volumn 189, Issue 1, 1997, Pages 23-33

  Takeuchi, Mitsuhiro ^a  

^a UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002438531     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.6878     Document Type: Article

References (13)

1. Doi Y. Braided bialgebras and quadratic bialgebras. Comm. Algebra. 21:1993;1731-1749.
2. Doi Y., Takeuchi M. Multiplication alteration by two-cocycles - The quantum version. Comm. Algebra. 22:1994;5715-5732.
3. V. G. Drinfeld, 1987, Quantum groups, Proceedings of ICM Berkeley, 1986, 798, 820, Am. Math. Soc. Providence.
4. Du J., Parshall B., Wang J.-P. Two-parameter quantum linear groups and hyperbolic invariance ofq. J. London Math. Soc. (2). 44:1991;420-436.
5. Faddeev L. D., Reshetikhin N. Yu., Takhtajan L. A. Quantization of Lie groups and Lie algebras. Leningrad Math. J. 1:1990;193-225.
6. Hayashi T. Quantum groups and quantum determinants. J. Algebra. 152:1992;146-165.
7. Jacobson N. Basic Algebra I. 1974;Freeman, San Francisco.
8. Larson R. G., Towber J. Two dual classes of bialgebras related to the concepts of "quantum group" and "quantum Lie algebra" Comm. Algebra. 19:1991;3295-3345.
9. Parshall B., Wang J.-P. Quantum linear groups. Mem. Amer. Math. Soc. 439:1991.
10. Sweedler M. Hopf Algebras. 1969;Benjamin, New York.
11. Takeuchi M. A two-parameter quantization of GL(n. Proc. Japan Acad. Ser. A. 66:1990;112-114.
12. Takeuchi M. Matric bialgebras and quantum groups. Israel J. Math. 72:1990;232-251.
13. M. Takeuchi, Cocycle deformations of bialgebras and Hopf algebras, Proceedings of the Twenty-Eighth Symposium on Ring Theory, Okayama, Japan, 1995, 127, 130.