Jucys-Murphy elements for Birman-Murakami-Wenzl algebras
Quantum Algebra
2009-12-22 v1 Representation Theory
Abstract
The Birman-Wenzl-Murakami algebra, considered as the quotient of the braid group algebra, possesses the commutative set of Jucys--Murphy elements. We show that the set of Jucys--Murphy elements is maximal commutative for the generic Birman-Wenzl-Murakami algebra and reconstruct the representation theory of the tower of Birman-Wenzl-Murakami algebras.
Cite
@article{arxiv.0912.4010,
title = {Jucys-Murphy elements for Birman-Murakami-Wenzl algebras},
author = {A. P. Isaev and O. V. Ogievetsky},
journal= {arXiv preprint arXiv:0912.4010},
year = {2009}
}
Comments
Proceedings of International Workshop "Supersymmetries and Quantum Symmetries", Dubna, 2009