The modular representation theory of \(q\)-Schur algebras. II

DOI10.1007/BF02571542zbMath0724.20011MaRDI QIDQ2644759

Jie Du

Publication date: 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174333

zbMATH Keywords

irreducible representationsymmetric groupkernelpull-backBrauer homomorphismq-Schur algebraq-Schur algebra module

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (6)

A realisation of the quantum supergroup \(U(\mathfrak{gl}_{m|n})\) ⋮ Irreducible representations of \(q\)-Schur superalgebras at a root of unity. ⋮ A COMPARISON OF INFINITESIMAL AND LITTLE q-SCHUR ALGEBRAS ⋮ THE BRAUER HOMOMORPHISM AND THE MINIMAL BASIS FOR CENTERS OF IWAHORI–HECKE ALGEBRAS OF TYPEA^* ⋮ Representations of \(q\)-Schur superalgebras in positive characteristics ⋮ Global IC bases for quantum linear groups

Cites Work

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• A result on the Bruhat order of a Coxeter group
• Integral and graded quasi-hereditary algebras. I
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Characters and centers of symmetric algebras
• Blocks of modular representations
• Centers of Generic Hecke Algebras
• Blocks and Idempotents of Hecke Algebras of General Linear Groups
• Modular Permutation Representations

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