Brauer algebras of simply laced type.

DOI10.1007/s11856-009-0095-9zbMath1243.20004arXiv0704.2732OpenAlexW1978406166MaRDI QIDQ2655765

Bart J. Frenk, Arjeh M. Cohen, David B. Wales

Publication date: 26 January 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2732

zbMATH Keywords

group algebraspresentationsCoxeter groupscentralizer algebrasirreducible representationsBrauer algebrasBirman-Murakami-Wenzl algebrascellular algebrasdiagram algebrastensor products of representations

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of quivers and partially ordered sets (16G20)

Related Items (13)

Decomposition numbers for Brauer algebras of type \(G(m,p,n)\) in characteristic zero. ⋮ Truncations and extensions of the Brauer-Chen algebra ⋮ Flat connections and Brauer type algebras. ⋮ The Birman-Murakami-Wenzl algebras of type \(\mathbf E_n\). ⋮ Brauer algebras of type \(\mathrm I_2^n\) (\(n\geq 5\)). ⋮ Morphisms from Hecke algebras to graphic Temperley-Lieb algebras ⋮ Brauer algebras of type \(C\). ⋮ A combinatorial description of the centralizer algebras connected to the Links-Gould invariant ⋮ The Birman–Murakami–Wenzl Algebras of Type D_n ⋮ Corrigendum to ``Brauer algebras of simply laced type ⋮ Mühlherr's Partitions for Brauer Algebras of Type H₃and H₄ ⋮ The Dieck-Temperley-Lieb algebras of type B and C in Brauer algebras ⋮ Brauer algebras of multiply laced Weyl type

Cites Work

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• A poset connected to Artin monoids of simply laced type.
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• Quantum groups and subfactors of type B, C, and D
• BMW algebras of simply laced type.
• Cellular algebras
• Hecke algebras of finite type are cellular.
• On algebras which are connected with the semisimple continuous groups
• TANGLE AND BRAUER DIAGRAM ALGEBRAS OF TYPE D_n
• Braids, Link Polynomials and a New Algebra

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