Idempotents for Birman-Murakami-Wenzl algebras and reflection equation

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.

20 pages

References in corpus (2)

• A new fusion procedure for the Brauer algebra and evaluation homomorphisms
• On the idempotents of Hecke algebras

Cited by in corpus (5)

• Temperley-Lieb, Birman-Murakami-Wenzl and Askey-Wilson algebras and other centralizers of $U_q({\mathfrak{sl}}_2)$
• On boundary fusion and functional relations in the Baxterized affine Hecke algebra
• Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n)
• Fusion procedure for the Yang-Baxter equation and Schur-Weyl duality
• Fusion procedure for Degenerate cyclotomic Hecke algebras