The Cyclotomic BMW Algebra Associated with the Two String TypeBBraid Group

DOI10.1080/00927872.2011.611927zbMath1262.20007arXivmath/0611518OpenAlexW2123124168MaRDI QIDQ2902278

Stewart Wilcox, Shona Yu

Publication date: 17 August 2012

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

Full work available at URL: https://arxiv.org/abs/math/0611518

zbMATH Keywords

Coxeter groupsbraid groupsAriki-Koike algebrasBrauer algebrascyclotomic Hecke algebrasBirman-Murakami-Wenzl algebrasdiagram algebrascyclotomic BMW algebrasadmissibility relations

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Representations of quivers and partially ordered sets (16G20)

Related Items (14)

Cellularity of cyclotomic Birman-Wenzl-Murakami 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. ⋮ Handlebody diagram algebras ⋮ Affine and degenerate affine BMW algebras: actions on tensor space ⋮ Affine and degenerate affine BMW algebras: the center ⋮ Non-vanishing Gram determinants for cyclotomic Nazarov-Wenzl and Birman-Murakami-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.

Cites Work

• Cyclotomic Birman-Wenzl-Murakami algebras. II: Admissibility relations and freeness.
• The representations of cyclotomic BMW algebras.
• Comparison of admissibility conditions for cyclotomic Birman-Wenzl-Murakami algebras.
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• On the cellularity of the cyclotomic Birman-Murakami-Wenzl algebras
• CYCLOTOMIC BIRMAN–WENZL–MURAKAMI ALGEBRAS, I: FREENESS AND REALIZATION AS TANGLE ALGEBRAS
• Affine Birman–Wenzl–Murakami algebras and tangles in the solid torus
• Cyclotomic Birman-Murakami-Wenzl algebras.

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