Advances in Theoretical and Mathematical Physics

Idempotents for Birman–Murakami–Wenzl algebras and reflection equation

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

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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 different fusion procedures for Brauer algebras are described.

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Adv. Theor. Math. Phys., Volume 18, Number 1 (2014), 1-25.

First available in Project Euclid: 10 October 2014

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Isaev, A. P.; Molev, A. I.; Ogievetsky, O. V. Idempotents for Birman–Murakami–Wenzl algebras and reflection equation. Adv. Theor. Math. Phys. 18 (2014), no. 1, 1--25.

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