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A family of new universal -matrices
Author(s):
Keqin
Liu
Journal:
Proc. Amer. Math. Soc.
125
(1997),
987-999.
MSC (1991):
Primary 17B35, 17B37;
Secondary 57Q45
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Abstract:
Left universal -matrices and right universal -matrices are introduced. A family of new universal -matrices and charmed Hopf algebra is found.
References:
- 1.
- V. G. Drinfeld, On almost cocommutative Hopf algebras, Leninggrad Math. J. 1,No.2 (1990), 321-342. MR 91b:16046
- 2.
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-difference analogue of and the Yang-Baxter equation, Lett. Math. Phys. 10 (1985), 63-69. MR 86k:17008 - 3.
- R. Kirby and P. Melvin, The 3-manifold invariants of Witten and Reshetikhin-Turaev for
, Inv. Math. 105 (1991), 473-545. MR 92e:57011 - 4.
- M. Okado and H. Yamane,
-matrices with gauge parameters and multi-parameter quantized enveloping algebras, Special Functions (Okayama, 1990), ICM 90 Satellite Conf. Proc., Springer, Tokyo, 1991, pp. 289-293. MR 93f:17025 - 5.
- N. Reshetikhin and V.G.Turaev, Ribbon graphs and their invariants derived from quantum groups, Commun. Math. Phys. 127 (1990), 1-26. MR 91c:57016
- 6.
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-manifolds via link polynomials and quantum groups, Inv. Math. 103 (1991), 547-597. MR 92b:57024 - 7.
- M. E. Sweedler, Hopf Algebras, Math. Lecture Notes Series, Benjamin, New York, 1969. MR 40:5705
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Additional Information:
Keqin
Liu
Affiliation:
Department of Mathematics, The University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z2
Email:
kliu@math.ubc.ca
DOI:
10.1090/S0002-9939-97-03675-7
PII:
S 0002-9939(97)03675-7
Received by editor(s):
May 25, 1994
Received by editor(s) in revised form:
October 13, 1995
Communicated by:
Roe Goodman
Copyright of article:
Copyright
1997,
American Mathematical Society
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