Birman-Murakami-Wenzl algebras for general Coxeter groups

2012/03/02 by Zhi Chen, Chen, Zhi
Mathematics · #20C08 #20F36 #Advanced Combinatorial Mathematics #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:20C08 #msc:20F36

paper · pdf · doi:10.48550/arxiv.1203.0583

22 pages, 1 figure

arxiv created 2012/03/02 · openalex publication_date 2012/03/02 · arxiv updated 2012/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• The Birman-Murakami-Wenzl Algebra of Coxeter Type D
• Birman-Murakami-Wenzl type algebras for arbitrary Coxeter systems
• Morita equivalences on Brauer algebras and BMW algebras of simply-laced types
• The reduced Birman-Wenzl algebra of Coxeter type B
• Brauer Algebras of Simply Laced Type