Admissibility Conditions for Degenerate Cyclotomic BMW Algebras

DOI10.1080/00927871003591918zbMath1242.20006arXiv0905.4253OpenAlexW2964046047MaRDI QIDQ3084553

Frederick M. Goodman

Publication date: 25 March 2011

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

Full work available at URL: https://arxiv.org/abs/0905.4253

zbMATH Keywords

quantum algebrasBrauer algebrasBMW algebrasBirman-Wenzl-Murakami algebrasBirman-Wenzl algebrasalgebras related to knot theoryalgebras related to quantum groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of associative Artinian rings (16G10)

Related Items (7)

Decomposition numbers of cyclotomic NW and BMW algebras. ⋮ Fusion procedure for cyclotomic BMW algebras ⋮ Remarks on cyclotomic and degenerate cyclotomic BMW 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. ⋮ On cellular algebras with Jucys Murphy elements.

Cites Work

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• The representations of cyclotomic BMW algebras. II.
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• 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
• Young's orthogonal form for Brauer's centralizer algebra
• 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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