A \(q\)-Brauer algebra

DOI10.1016/j.jalgebra.2012.02.017zbMath1288.20007arXiv1102.3892OpenAlexW2074495254MaRDI QIDQ1758533

H. G. Wenzl

Publication date: 9 November 2012

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

Full work available at URL: https://arxiv.org/abs/1102.3892

zbMATH Keywords

Hecke algebrasalgebras with involution\(q\)-deformationsBrauer algebrasfusion categories

Mathematics Subject Classification ID

Related Items (5)

Permutation modules for cellularly stratified algebras ⋮ Cellular structure of \(q\)-Brauer algebras. ⋮ Webs and $q$-Howe dualities in types $\mathbf {BCD}$ ⋮ A cellular basis of the q-Brauer algebra related with Murphy bases of Hecke algebras ⋮ Quantized enveloping superalgebra of type \(P\)

Cites Work

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• On the structure of Brauer's centralizer algebras
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• The Kauffman polynomial of links and representation theory
• Quantum groups and subfactors of type B, C, and D
• \(q\)-deformed orthogonal and pseudo-orthogonal algebras and their representations
• Matrix units for centralizer algebras
• Semisimple and modular categories from link invariants
• Module categories, weak Hopf algebras and modular invariants
• Boundary states for WZW models
• Hecke algebras, modular categories and 3-manifolds quantum invariants
• Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
• Cellular algebras
• Classification theorem on irreducible representations of the \(q\)-deformed algebra \(U_q^{\prime}(\text{so}_n)\)
• Subalgebras Which Appear in Quantum Iwasawa Decompositions
• A NEW ALGEBRA FROM THE REPRESENTATION THEORY OF FINITE GROUPS
• On braided tensor categories of typeBCD
• Blocks and Idempotents of Hecke Algebras of General Linear Groups
• Braids, Link Polynomials and a New Algebra
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