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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Abstract

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.

Article information

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

Dates
First available in Project Euclid: 10 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1412953897

Mathematical Reviews number (MathSciNet)
MR3268233

Zentralblatt MATH identifier
1343.17010

Citation

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. https://projecteuclid.org/euclid.atmp/1412953897


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