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The Temperley-Lieb
algebra at roots of unity
Frederick Michael Goodman and Hans Wenzl |
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Vol. 161 (1993), No. 2, 307–334
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Abstract |
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We present general techniques to determine the structure of Hecke algebras and similar algebras in the non-semisimple case. We apply these to give a complete description of the structure of the Temperley-Lieb algebras at a root of unity. Our description implies in particular that the representation of these algebras on tensor space (C2)⊗n is faithful. |
Mathematical Subject Classification 2000
Primary: 16G99
Secondary: 20C30
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Milestones
Received: 15 December 1991
Published: 1 December 1993
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Authors |
| Frederick Michael Goodman | |
| Hans Wenzl | |
| Department of Mathematics University of California, San Diego 9500 Gilman Drive Dept 0112 La Jolla CA 92093-0112 United States |
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| http://www.math.ucsd.edu/~wenzl/ | |
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