PRESENTATION OF QUANTUM GENERALIZED SCHUR ALGEBRAS

DOI10.1142/S0219498805001381zbMath1101.17008MaRDI QIDQ3370729

Li Bin Li

Publication date: 8 February 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

relationspresentationsgeneratorsquantum groupsprime idealscomplex Lie algebrasannihilators of simple modulescomplex quantised universal enveloping algebrasgeneralised quantum Schur algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Cites Work

• On Schur algebras and related algebras. I
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Local finiteness of the adjoint action for quantized enveloping algebras
• Ideals of the enveloping algebra \(U(sl_2)\)
• Presenting Schur algebras as quotients of the universal enveloping algebra of \(\mathfrak{gl}_2\).
• Ideaux premiers de l'algèbre enveloppante d'une algèbre de Lie nilpotente
• WEIGHT PROPERTY FOR IDEALS OF Uq(sl(2))
• Presenting generalized 𝑞-Schur algebras