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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The trace space and Kauffman's knot invariants


Author: Keqin Liu
Journal: Trans. Amer. Math. Soc. 351 (1999), 3823-3842
MSC (1991): Primary 17B35, 17B37, 17C50, 18A10, 57M25, 57N10
Published electronically: April 27, 1999
MathSciNet review: 1467472
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Abstract: The traces in the construction of Kauffman's knot invariants are studied. The trace space is determined for a semisimple finite-dimensional quantum Hopf algebra and the best lower bound of the dimension of the trace space is given for a unimodular finite-dimensional quantum Hopf algebra.


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Additional Information

Keqin Liu
Affiliation: Department of Mathematics, The University of British Columbia, Vancouver, BC, Canada V6T 1Z2

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02146-7
PII: S 0002-9947(99)02146-7
Received by editor(s): March 25, 1996
Received by editor(s) in revised form: April 21, 1997
Published electronically: April 27, 1999
Article copyright: © Copyright 1999 American Mathematical Society