Presenting Schur superalgebras.

DOI10.2140/pjm.2013.262.285zbMath1281.20060arXiv1209.6327OpenAlexW2063494262MaRDI QIDQ354584

Houssein El Turkey, Jonathan R. Kujawa

Publication date: 19 July 2013

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6327

zbMATH Keywords

relationsSchur algebraspresentationsgeneratorsmodified quantum groupsquantum Schur-Weyl dualitySchur superalgebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Schur and (q)-Schur algebras (20G43) ``Super (or ``skew) structure (16W55)

Related Items (14)

THE QUEER -SCHUR SUPERALGEBRA ⋮ Canonical bases for the quantum supergroup U(𝔤𝔩_3|1) ⋮ Super \(q\)-Howe duality and web categories ⋮ A realisation of the quantum supergroup \(U(\mathfrak{gl}_{m|n})\) ⋮ Canonical bases for the quantum supergroups \(\mathbf U(\mathfrak{gl}_{m|n})\) ⋮ Cohomological finite-generation for finite supergroup schemes ⋮ Fusion formulas and fusion procedure for the Yang-Baxter equation ⋮ Quantum supergroups. IV: The modified form ⋮ Irreducible representations of \(q\)-Schur superalgebras at a root of unity. ⋮ The BLM realization for the integral form of \(U_v(\mathfrak{gl}_{m\mid n})\) ⋮ The infinitesimal and the little q-Schur superalgebras ⋮ 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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