Double cyclotomic symmetric groups.

DOI10.1016/j.jalgebra.2005.02.031zbMath1116.20006OpenAlexW1964416975MaRDI QIDQ555763

Hebing Rui, Xin Wang

Publication date: 10 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.02.031

zbMATH Keywords

Ariki-Koike algebraspermutation modulescellular algebrascellular basestoroidal symmetric groups

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Cites Work

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• Schur duality in the toroidal setting
• 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 cyclotomic Brauer algebras.
• The representations of Hecke algebras of type \(A_ n\)
• Cellular algebras
• Representations of Hecke Algebras of General Linear Groups
• q-Tensor Space and q-Weyl Modules
• The (Q, q )-Schur Algebra
• The 𝑞-Schur² algebra
• Hecke Algebras of Type B_n at Roots of Unity

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