The representations of cyclotomic BMW algebras.

DOI10.1016/J.JPAA.2009.04.007zbMath1235.20004arXiv0801.0465OpenAlexW2098710865MaRDI QIDQ734813

Hebing Rui, Jie Xu

Publication date: 13 October 2009

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

Full work available at URL: https://arxiv.org/abs/0801.0465

zbMATH Keywords

finite-dimensional algebrasrepresentationsirreducible modulescellular algebrascyclotomic BMW algebrasfree algebras over integral domainsquotient modules

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of associative Artinian rings (16G10)

Related Items (17)

The Cyclotomic BMW Algebra Associated with the Two String TypeBBraid Group ⋮ Decomposition numbers of cyclotomic NW and BMW algebras. ⋮ Fusion procedure for cyclotomic BMW algebras ⋮ A basis theorem for the affine Kauffman category and its cyclotomic quotients ⋮ On the classification of finite dimensional irreducible modules for affine BMW algebras. ⋮ Remarks on cyclotomic and degenerate cyclotomic BMW algebras. ⋮ The representations of cyclotomic BMW algebras. II. ⋮ 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. ⋮ Morita equivalence for cyclotomic BMW algebras. ⋮ Cellularity and the Jones basic construction. ⋮ Cyclotomic Birman-Wenzl-Murakami algebras. II: Admissibility relations and freeness. ⋮ On cellular algebras with Jucys Murphy elements. ⋮ Comparison of admissibility conditions for cyclotomic Birman-Wenzl-Murakami algebras. ⋮ Admissibility Conditions for Degenerate Cyclotomic BMW Algebras ⋮ Representations of weakly triangular categories

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