Idempotents for Birman-Murakami-Wenzl algebras and reflection equation
Representation Theory
2011-11-11 v1
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.
Keywords
Cite
@article{arxiv.1111.2502,
title = {Idempotents for Birman-Murakami-Wenzl algebras and reflection equation},
author = {A. P. Isaev and A. I. Molev and O. V. Ogievetsky},
journal= {arXiv preprint arXiv:1111.2502},
year = {2011}
}
Comments
20 pages