Idempotents for Birman-Murakami-Wenzl algebras and reflection equation

A. P. Isaev, A. I. Molev and O. V. Ogievetsky


A complete system of pairwise orthogonal minimal idempotents for Birman-Murakami-Wenzl algebras is obtained by a consecutive evaluation of a rational function in several variables on sequences of quantum contents of up-down tableaux. A by-product of the construction is a one-parameter family of fusion procedures for Hecke algebras. Classical limits to two diff erent fusion procedures for Brauer algebras are described.

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Friday, November 18, 2011