The Birman–Murakami–Wenzl Algebras of Type Dn

DOI10.1080/00927872.2012.678955zbMath1297.20005OpenAlexW2062667319MaRDI QIDQ5409763

Dié A. H. Gijsbers, Arjeh M. Cohen, David B. Wales

Publication date: 14 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.678955

zbMATH Keywords

Brauer algebrasBirman-Murakami-Wenzl algebrascellular algebrasBMW algebrasgeneralized Temperley-Lieb algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Representations of quivers and partially ordered sets (16G20)

Related Items (2)

A combinatorial description of the centralizer algebras connected to the Links-Gould invariant ⋮ Brauer algebras of multiply laced Weyl type

Cites Work

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• The Birman-Murakami-Wenzl algebras of type \(\mathbf E_n\).
• Homological representations of the Hecke algebra
• A poset connected to Artin monoids of simply laced type.
• On the linearity of Artin braid groups.
• On the quasi-heredity of Birman-Wenzl algebras
• BMW algebras of simply laced type.
• Linearity of Artin groups of finite type.
• Cellular algebras
• Hecke algebras of finite type are cellular.
• Brauer algebras of simply laced type.
• A characteristic free approach to Brauer algebras
• TANGLE AND BRAUER DIAGRAM ALGEBRAS OF TYPE D_n
• GENERALIZED TEMPERLEY–LIEB ALGEBRAS AND DECORATED TANGLES
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• Structure of a Hecke algebra quotient
• Braid groups are linear
• Braid groups are linear

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