Representations of Hecke algebras of type \(B_n\)

DOI10.1016/0021-8693(92)90078-ZzbMath0808.20016MaRDI QIDQ1184194

Richard Dipper, Gordon D. James

Publication date: 28 June 1992

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

zbMATH Keywords

Specht modulessymmetric groupsblockssimple modulesYoung subgroupsrepresentations of Hecke algebrasdecomposition matrixMorita equivalent categories of modulesWeyl group of type \(B_n\)

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (50)

Constructible characters and canonical bases ⋮ Irreducible Specht modules for Iwahori–Hecke algebras of type $B$ ⋮ Modular representations of Hecke algebras of type \(G(p,p,n)\). ⋮ On the modular representations of Hecke algebras of type \(D_n\). ⋮ Character sheaves for classical symmetric pairs ⋮ Matrix units and generic degrees for the Ariki-Koike algebras. ⋮ Gram determinants of type \(B_ n\) ⋮ Some decomposition numbers of Hecke algebras ⋮ Hyperoctahedral Schur algebras ⋮ Canonical basic sets in type \(B_n\). ⋮ On tensor representations of knot algebras ⋮ Quasi-parabolic subgroups of the Weyl group of type \(D\). ⋮ Matrix units and primitive idempotents for the Hecke algebra of type \(D_n\) ⋮ Cocenters and representations of affine Hecke algebras ⋮ \(Q\)-Schur algebras corresponding to Hecke algebras of type \textsf{B} ⋮ Stable centres of wreath products ⋮ SEMISIMPLICITY OF HECKE AND (WALLED) BRAUER ALGEBRAS ⋮ Crystal of affine \(\widehat{\mathfrak{sl}}_\ell\) and modular branching rules for Hecke algebras of type \(D_n\) ⋮ \(\mathbb{Z}_2\)-graded Clifford system in the Hecke algebra of type \(B_n\). ⋮ Highest weight vectors of mixed tensor products of general linear Lie superalgebras ⋮ Crystal bases and simple modules for Hecke algebra of type \(D_n\). ⋮ Polynomial functors and two-parameter quantum symmetric pairs ⋮ The representation dimension of Hecke algebras and symmetric groups. ⋮ The representation type of Hecke algebras of type \(B\). ⋮ Constructible representations and basic sets in type \(B\). ⋮ JUCYS–MURPHY ELEMENTS AND CENTRES OF CELLULAR ALGEBRAS ⋮ On the action of Ariki-Koike algebras on tensor space. ⋮ Murphy elements from the double-row transfer matrix ⋮ On representations of affine Hecke algebras of type \(B\). ⋮ Unnamed Item ⋮ Runner Removal Morita Equivalences ⋮ SPECHT MODULES FOR ARIKI-KOIKE ALGEBRAS ⋮ Crystal graphs of irreducible \(\mathcal{U}_v (\widehat{\mathfrak{sl}}_e)\)-modules of level two and Uglov bipartitions ⋮ On the tensor product of two basic representations of \(U_v(\hat s l_e)\) ⋮ Unnamed Item ⋮ Representation type for block algebras of Hecke algebras of classical type ⋮ Elementary divisors of Specht modules. ⋮ Relative Kazhdan–Lusztig cells ⋮ Representations of hecke algebras of type b_n ⋮ On the decomposition numbers of the Hecke algebra of type \(D_n\) when \(n\) is even. ⋮ The two-boundary Temperley-Lieb algebra. ⋮ TAME BLOCK ALGEBRAS OF HECKE ALGEBRAS OF CLASSICAL TYPE ⋮ Stratifying endomorphism algebras associated to Hecke algebras ⋮ Hecke algebras of type \(D_n\) at roots of unity ⋮ Springer basic sets and modular Springer correspondence for classical types ⋮ Multiplication formulas and isomorphism theorem of \({\imath}\)Schur superalgebras ⋮ The 𝑞-Schur² algebra ⋮ A note on the representation theory of the Hecke algebra of type F₄ ⋮ Morita equivalence for blocks of Hecke algebras of type \(B\) ⋮ On simple modules of Hecke algebras of type \(D_n\)

Cites Work

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• On quotients of Hom-functors and representations of finite general linear groups. I
• Identification of the irreducible modular representations of \(GL_n(q)\).
• Polynomial representations of \(GL_n\)
• The q ‐Schur Algebra
• On the Decomposition Numbers of the Finite General Linear Groups
• On the Decomposition Numbers of the Finite General Linear Groups. II
• Representations of Hecke Algebras of General Linear Groups
• The Irreducible Representations of the Finite General Linear Groups
• q-Tensor Space and q-Weyl Modules
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Blocks and Idempotents of Hecke Algebras of General Linear Groups

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