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A Gram determinant for Lickorish's bilinear form

Published online by Cambridge University Press:  10 March 2011

XUANTING CAI
XUANTING CAI*
Affiliation:
Mathematics Department, Louisiana State University, Baton Rouge, Louisiana 70803, USA e-mail: xcai1@math.lsu.edu
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Abstract

We use the Jones–Wenzl idempotents to construct a basis of the Temperley–Lieb algebra TLn. This allows a short calculation for a Gram determinant of Lickorish's bilinear form on the Temperley–Lieb algebra.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 151 , Issue 1 , July 2011 , pp. 83 - 94
Copyright
Copyright © Cambridge Philosophical Society 2011

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