Skein construction of idempotents in Birman-Murakami-Wenzl algebras

Beliakova, A; Blanchet, C (2001). Skein construction of idempotents in Birman-Murakami-Wenzl algebras. Mathematische Annalen, 321(2):347-373.

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.

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.

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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics English 2001 19 Apr 2010 10:15 05 Apr 2016 13:25 Springer 0025-5831 The original publication is available at www.springerlink.com https://doi.org/10.1007/s002080100233
Permanent URL: https://doi.org/10.5167/uzh-21997