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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The trace space and Kauffman’s knot invariants
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by Keqin Liu PDF
Trans. Amer. Math. Soc. 351 (1999), 3823-3842 Request permission

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
  • Received by editor(s): March 25, 1996
  • Received by editor(s) in revised form: April 21, 1997
  • Published electronically: April 27, 1999
  • © Copyright 1999 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 351 (1999), 3823-3842
  • MSC (1991): Primary 17B35, 17B37, 17C50, 18A10, 57M25, 57N10
  • DOI: https://doi.org/10.1090/S0002-9947-99-02146-7
  • MathSciNet review: 1467472