Jucys-Murphy elements for Birman-Murakami-Wenzl algebras - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physics of Particles and Nuclei Letters / PisВ'ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra Année : 2011

Jucys-Murphy elements for Birman-Murakami-Wenzl algebras

Résumé

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.

Dates et versions

hal-00473353 , version 1 (15-04-2010)

Identifiants

Citer

A. P. Isaev, O. V. Ogievetsky. Jucys-Murphy elements for Birman-Murakami-Wenzl algebras. Physics of Particles and Nuclei Letters / PisВ'ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2011. ⟨hal-00473353⟩
58 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More