Skein construction of idempotents in Birman-Murakami-Wenzl algebras

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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.
26 pages, LaTeX with figures; Section 8 and details to the proof of Theorem 3.1 are added

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/59438

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0006143
 http://arxiv.org/abs/math/0006143

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arXiv