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September 2007 Jones-Wenzl idempotents for rank 2 simple Lie algebras
Dongseok Kim
Osaka J. Math. 44(3): 691-722 (September 2007).

Abstract

Temperley-Lieb algebras have been generalized to web spaces for rank 2 simple Lie algebras. Using these webs, we find a complete description of the Jones-Wenzl idempotents for the quantum $\mathfrak{sl}(3)$ and $\mathfrak{sp}(4)$ by single clasp expansions. We discuss applications of these expansions.

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Dongseok Kim. "Jones-Wenzl idempotents for rank 2 simple Lie algebras." Osaka J. Math. 44 (3) 691 - 722, September 2007.

Information

Published: September 2007
First available in Project Euclid: 13 September 2007

zbMATH: 1133.57008
MathSciNet: MR2360947

Subjects:
Primary: 57M27
Secondary: 57M25, 57R56

Rights: Copyright © 2007 Osaka University and Osaka City University, Departments of Mathematics

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Vol.44 • No. 3 • September 2007
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