SPECHT MODULES FOR ARIKI-KOIKE ALGEBRAS

DOI10.1081/AGB-100106782zbMath1012.20004MaRDI QIDQ2758269

Hebing Rui, Jie Du

Publication date: 12 March 2003

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

zbMATH Keywords

Hecke algebrasSpecht modulessymmetric groupsquantum groupsAriki-Koike algebraspermutation modulescellular algebrasKleshchev's branching rules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items (15)

On the semi-simplicity of the cyclotomic Brauer algebras. ⋮ Modular representations of Hecke algebras of type \(G(p,p,n)\). ⋮ On decomposition matrices for graded algebras. ⋮ On the semisimplicity of the cyclotomic Brauer algebras. II. ⋮ Matrix units and generic degrees for the Ariki-Koike algebras. ⋮ Standard multipartitions and a combinatorial affine Schur-Weyl duality ⋮ Fayers’ conjecture and the socles of cyclotomic Weyl modules ⋮ Isomorphisms between simple modules of degenerate cyclotomic Hecke algebras ⋮ Schurian‐finiteness of blocks of type A$A$ Hecke algebras ⋮ Discriminants of quantized walled Brauer algebras ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Weights of Markov traces on cyclotomic Hecke algebras ⋮ Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type \(A\). ⋮ Slim cyclotomic \(q\)-Schur algebras ⋮ Trace forms on the cyclotomic Hecke algebras and cocenters of the cyclotomic Schur algebras

Cites Work

• Representations of Hecke algebras of type \(B_n\)
• Cyclotomic \(q\)-Schur algebras
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• Morita equivalence for blocks of Hecke algebras of symmetric groups
• Cellular algebras
• The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
• Representations of Hecke Algebras of General Linear Groups
• The Irreducible Representations of the Finite General Linear Groups
• Modular Branching Rules and the Mullineux Map for Hecke Algebras of Type A
• The 𝑞-Schur² algebra

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