Singular parameters for the Birman-Murakami-Wenzl algebra.

DOI10.1016/J.JPAA.2011.10.039zbMath1262.20005arXiv1102.1055OpenAlexW2056950985MaRDI QIDQ456816

Mei Si, Hebing Rui

Publication date: 16 October 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1055

zbMATH Keywords

Hecke algebrasfinite dimensional algebrassymmetric groupsBirman-Murakami-Wenzl algebrasBMW algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of associative Artinian rings (16G10)

Related Items (4)

Simple modules for Temperley-Lieb algebras and related algebras ⋮ Recollements of self-injective algebras, and classification of self-injective diagram algebras ⋮ Morita equivalence for cyclotomic BMW algebras. ⋮ Decomposition matrices of Birman-Murakami-Wenzl algebras

Cites Work

• Non-vanishing Gram determinants for cyclotomic Nazarov-Wenzl and Birman-Murakami-Wenzl algebras.
• The Kauffman polynomial of links and representation theory
• Quantum groups and subfactors of type B, C, and D
• On the semisimplicity of the Brauer centralizer algebras
• On the quasi-heredity of Birman-Wenzl algebras
• Cellular bases for the Brauer and Birman-Murakami-Wenzl algebras.
• Cellular algebras
• Young's orthogonal form for Brauer's centralizer algebra
• Specht modules and semisimplicity criteria for Brauer and Birman-Murakami-Wenzl algebras.
• Discriminants of Brauer algebras.
• A characteristic free approach to Brauer algebras
• Blocks of Birman-Murakami-Wenzl Algebras
• On the cellularity of the cyclotomic Birman-Murakami-Wenzl algebras
• The blocks of the Brauer algebra in characteristic zero
• Gram determinants and semisimplicity criteria for Birman-Wenzl algebras
• An Invariant of Regular Isotopy
• Braids, Link Polynomials and a New Algebra

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