Jucys-Murphy elements for Birman-Murakami-Wenzl algebras
arXiv:0912.4010
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.
Proceedings of International Workshop "Supersymmetries and Quantum Symmetries", Dubna, 2009