Cellular bases for the Brauer and Birman-Murakami-Wenzl algebras.

DOI10.1016/J.JALGEBRA.2003.03.002zbMath1070.20006OpenAlexW2035240682MaRDI QIDQ1887467

John Enyang

Publication date: 26 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.03.002

zbMATH Keywords

Brauer algebrasBirman-Murakami-Wenzl algebrascellular bases

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08)

Related Items (17)

Cellularity of cyclotomic Birman-Wenzl-Murakami algebras ⋮ On Decomposition Numbers of Diagram Algebras ⋮ Constructing cell data for diagram algebras. ⋮ On the classification of finite dimensional irreducible modules for affine BMW algebras. ⋮ On tensor spaces for Birman-Murakami-Wenzl algebras ⋮ Cellularity of wreath product algebras and \(A\)-Brauer algebras. ⋮ Singular parameters for the Birman-Murakami-Wenzl algebra. ⋮ Specht modules and semisimplicity criteria for Brauer and Birman-Murakami-Wenzl algebras. ⋮ Specht filtrations and tensor spaces for the Brauer algebra. ⋮ Tilting modules, dominant dimensions and Brauer-Schur-Weyl duality ⋮ Cellular bases for algebras with a Jones basic construction ⋮ Discriminants of Brauer algebras. ⋮ Cellularity and the Jones basic construction. ⋮ Brauer algebras, symplectic Schur algebras and Schur-Weyl duality ⋮ Dual partially harmonic tensors and Brauer-Schur-Weyl duality. ⋮ BMW algebra, quantized coordinate algebra and type 𝐶 Schur–Weyl duality ⋮ Almost cellular algebras

Cites Work

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• The Kauffman polynomial of links and representation theory
• Quantum groups and subfactors of type B, C, and D
• On the quasi-heredity of Birman-Wenzl algebras
• The representations of Hecke algebras of type \(A_ n\)
• Canonical bases for the Brauer centralizer algebra
• Characters of algebras containing a Jones basic construction: The Temperley-Lieb, Okada, Brauer, and Birman-Wenzl algebras
• Cellular algebras
• Cellular Algebras: Inflations and Morita Equivalences
• An Invariant of Regular Isotopy
• Braids, Link Polynomials and a New Algebra

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