Irreducible representations of \(q\)-Schur superalgebras at a root of unity.

DOI10.1016/j.jpaa.2014.03.003zbMath1325.20043arXiv1301.0161OpenAlexW2964052456MaRDI QIDQ2451742

Haixia Gu, Jian-Pan Wang, Jie Du

Publication date: 4 June 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0161

zbMATH Keywords

parabolic subgroupsprojective indecomposable modules\(q\)-deformationsirreducible representationsirreducible modulesmodular representations\(q\)-Schur superalgebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Superalgebras (17A70) Schur and (q)-Schur algebras (20G43) ``Super (or ``skew) structure (16W55)

Related Items (8)

THE QUEER -SCHUR SUPERALGEBRA ⋮ A realisation of the quantum supergroup \(U(\mathfrak{gl}_{m|n})\) ⋮ The BLM realization for the integral form of \(U_v(\mathfrak{gl}_{m\mid n})\) ⋮ The infinitesimal and the little q-Schur superalgebras ⋮ Representations of \(q\)-Schur superalgebras in positive characteristics ⋮ MULTIPLICATION FORMULAS AND SEMISIMPLICITY FOR -SCHUR SUPERALGEBRAS ⋮ Polynomial super representations of \(U_q^{\mathrm{res}}(\mathfrak{gl}_{m\mid n})\) at roots of unity ⋮ Multiplication formulas and isomorphism theorem of \({\imath}\)Schur superalgebras

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