Schur algebras of classical groups.

DOI10.1016/j.jalgebra.2005.12.018zbMath1189.20041OpenAlexW2083689651MaRDI QIDQ855725

Qunhua Liu

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.12.018

zbMATH Keywords

universal enveloping algebrasclassical groupstensor spacesinverse systemspath modelsclassical Lie algebrasgeneralized Schur algebras

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Simple, semisimple, reductive (super)algebras (17B20) Lie algebras of linear algebraic groups (17B45) Schur and (q)-Schur algebras (20G43)

Related Items (6)

Schur–Weyl Dualities Old and New ⋮ Affine quasi-heredity of affine Schur algebras ⋮ Schur algebras of Brauer algebras. II. ⋮ Schur Algebras of Classical Groups II ⋮ Constructing quantized enveloping algebras via inverse limits of finite dimensional algebras ⋮ Brauer algebras with parameter \(n=2\) acting on tensor space.

Cites Work

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• A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
• Presenting generalized Schur algebras in types \(B\), \(C\), \(D\).
• On Schur algebras and related algebras. I
• Polynomial representations of \(GL_n\)
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• Polynomial representations, algebraic monoids, and Schur algebras of classical type
• A generic algebra associated to certain Hecke algebras.
• \(q\)-Schur algebras, asymptotic forms, and quantum \(SL_ n\)
• Introduction to Lie Algebras and Representation Theory

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