Gram determinants and semisimplicity criteria for Birman-Wenzl algebras

DOI10.1515/CRELLE.2009.045zbMath1182.16008arXivmath/0607266OpenAlexW2964144868MaRDI QIDQ3638130

Mei Si, Hebing Rui

Publication date: 2 July 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607266

zbMATH Keywords

cell modulesGram determinantsBirman-Wenzl algebrasup-down tableauxJucys-Murphy bases

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Representations of associative Artinian rings (16G10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (17)

Simple modules for Temperley-Lieb algebras and related algebras ⋮ Decomposition numbers of cyclotomic NW and BMW algebras. ⋮ On the classification of finite dimensional irreducible modules for affine BMW algebras. ⋮ Recollements of self-injective algebras, and classification of self-injective diagram algebras ⋮ SEMISIMPLICITY OF HECKE AND (WALLED) BRAUER ALGEBRAS ⋮ The representations of cyclotomic BMW algebras. II. ⋮ Discriminants of quantized walled Brauer algebras ⋮ Singular parameters for the Birman-Murakami-Wenzl algebra. ⋮ Affine and degenerate affine BMW algebras: the center ⋮ Non-vanishing Gram determinants for cyclotomic Nazarov-Wenzl and Birman-Murakami-Wenzl algebras. ⋮ On the structure of cyclotomic Nazarov-Wenzl algebras. ⋮ A cellular basis of the q-Brauer algebra related with Murphy bases of Hecke algebras ⋮ Cellular bases for algebras with a Jones basic construction ⋮ Parameters for which the Lawrence-Krammer representation is reducible. ⋮ Decomposition matrices of Birman-Murakami-Wenzl algebras ⋮ The structure of simple modules of Birman-Murakami-Wenzl algebras ⋮ Representations of weakly triangular categories

Cites Work

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• Discriminants of Brauer algebras.
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• On algebras which are connected with the semisimple continuous groups
• The Jantzen sum formula for cyclotomic 𝑞–Schur algebras
• An Invariant of Regular Isotopy
• Braids, Link Polynomials and a New Algebra
• Skein construction of idempotents in Birman-Murakami-Wenzl algebras

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