Skein construction of idempotents in Birman-Murakami-Wenzl algebras |
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| Authors: | Anna Beliakova Christian Blanchet |
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| Institution: | Mathematisches Institut, Universit?t Basel, Rheinsprung 21, 4051 Basel, Switzerland (e-mail: Anna.Beliakova@unibas.ch), CH
LMAM, Université de Bretagne Sud, Centre Yves Coppens, BP 573, 56017 Vannes, France (e-mail: Christian.Blanchet@univ-ubs.fr), FR
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| Abstract: | We give skein theoretic formulas for minimal idempotents in the Birman-Murakami-Wenzl algebras. These formulas are then applied
to derive various known results needed in the construction of quantum invariants and modular categories. In particular, an
elementary proof of the Wenzl formula for quantum dimensions is given. This proof does not use the representation theory of
quantum groups and the character formulas.
Received: 26 September 2000 / Published online: 17 August 2001 |
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