The 𝑞-Schur² algebra

DOI10.1090/S0002-9947-00-02262-5zbMath0952.20007MaRDI QIDQ4485740

Leonard L. Scott, Jie Du

Publication date: 18 June 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Morita equivalencesCoxeter systemsAriki-Koike algebrasquasi-hereditary algebrasdecomposition numbersendomorphism algebrascyclotomic \(q\)-Schur algebrasHecke algebras of type \(B\)\(q\)-permutation modulesquasi-parabolic subalgebrassemi-standard bitableaux

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Hecke algebras and their representations (20C08) Representations of orders, lattices, algebras over commutative rings (16G30) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items (17)

On decomposition matrices for graded algebras. ⋮ Cellular structures on Hecke algebras of type \(B\). ⋮ Presenting Hecke endomorphism algebras by Hasse quivers with relations ⋮ Quasi-parabolic subgroups of the Weyl group of type \(D\). ⋮ \(Q\)-Schur algebras corresponding to Hecke algebras of type \textsf{B} ⋮ \(\imath\)Schur duality and Kazhdan-Lusztig basis expanded ⋮ Quasi-hereditary slim cyclotomic \(q\)-Schur algebras ⋮ Borelic pairs for stratified algebras ⋮ Schur-Weyl duality for infinitesimal \(q\)-Schur algebras \(s_q(2,r)_1\). ⋮ SPECHT MODULES FOR ARIKI-KOIKE ALGEBRAS ⋮ Double cyclotomic symmetric groups. ⋮ Quasi-parabolic subgroups of \(G(m,1,r)\). ⋮ Slim cyclotomic \(q\)-Schur algebras ⋮ On endomorphism algebras arising from Hecke algebras ⋮ Multiplication formulas and isomorphism theorem of \({\imath}\)Schur superalgebras ⋮ The affine \(q\)-Schur algebra ⋮ THE -SCHUR ALGEBRAS AND -SCHUR DUALITIES OF FINITE TYPE

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