Lusztig's isomorphism theorem for cellular algebras.

DOI10.1016/j.jpaa.2005.06.015zbMath1107.16017OpenAlexW2129121083MaRDI QIDQ819795

Jun Ding, Jun Hu

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.06.015

zbMATH Keywords

Ariki-Koike algebrascyclotomic Hecke algebrasfinite Weyl groupsBirman-Murakami-Wenzl algebrascellular algebrasIwahori-Hecke algebrascyclotomic \(q\)-Schur algebrasLusztig isomorphism theoremsemisimple systems with parameters

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of associative Artinian rings (16G10)

Cites Work

• On Lusztig's isomorphism theorem for Hecke algebras
• The Kauffman polynomial of links and representation theory
• On a theorem of Benson and Curtis
• Cyclotomic \(q\)-Schur algebras
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• On the semi-simplicity of the Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\)
• On the quasi-heredity of Birman-Wenzl algebras
• Modular representations of Hecke algebras of type \(G(p,p,n)\).
• Matrix units and generic degrees for the Ariki-Koike algebras.
• The representations of Hecke algebras of type \(A_ n\)
• Representation theory of a Hecke algebra of \(G(r,p,n)\)
• Cellular algebras
• Schur-Weyl reciprocity between quantum groups and Hecke algebras of type \(G(p,p,n)\)
• Murnaghan-Nakayama Rules for Characters of Iwahori-Hecke Algebras of the Complex Reflection Groups G(r, p, n)
• Braids, Link Polynomials and a New Algebra
• Crystal bases and simple modules for Hecke algebras of type $G(p,p,n)$
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