Vol. 197, No. 2, 2001

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Representations of the braid group B3 and of SL(2,Z)

Imre Tuba and Hans Wenzl

Vol. 197 (2001), No. 2, 491–510
Abstract

We give a complete classification of simple representations of the braid group B3 with dimension 5. As an application of our techniques, we also obtain nontrivial q-versions of some of Deligne’s formulas for dimensions of representations of exceptional Lie groups.

Milestones
Received: 1 June 1999
Published: 1 February 2001
Authors
Imre Tuba
University of California, San Diego
La Jolla, CA 92093-0112
Hans Wenzl
University of California, San Diego
La Jolla, CA 92093-0112