Birman-Murakami-Wenzl algebras for general Coxeter groups

Abstract

We introduce a BMW type algebra for every Coxeter group. These new algebras are introduced as deformations of the Brauer type algebras introduced by the author, they have the corresponding Hecke algebras as quotients.

arXiv comment22 pages, 1 figure

References in corpus (5)

• The Cyclotomic Birman-Murakami-Wenzl Algebras
• On the freeness of the cyclotomic BMW algebras: admissibility and an isomorphism with the cyclotomic Kauffman tangle algebras
• Krammer representations for complex braid groups
• The Birman-Murakami-Algebras Algebras of Type Dn
• On the representation theory of braid groups

Cited by in corpus (2)

• Birman-Murakami-Wenzl type algebras for arbitrary Coxeter systems
• Interval Structures, Hecke Algebras, and Krammer's Representations for the Complex Braid Groups B(e,e,n)