Gram determinants and semisimplity criteria for Birman-Wenzl algebras

Details Gram determinants and semisimplity criteria for Birman-Wenzl algebras Gram determinants and semisimplity criteria for Birman-Wenzl algebras

2006-07-11

arxiv.org/abs/math/0607266v2

Mathematics

Quantum Algebra

23 pages, we rewrite the paper. In particular, we delete some elementary computation. One can use the GAP program [19] to chec

Scientific paper

In this paper, we compute the Gram determinants associated to each cell
module of the Birman-Wenzl algebras. As a by-product, we give the necessary and
sufficient condition for semisimple Birman-Wenzl algebras over an arbitrary
field.

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