Special bases for \(S_n\) and \(\text{GL}(n)\)

DOI10.1007/BF02761368zbMath0537.20006MaRDI QIDQ792448

Corrado De Concini, D. A. Kazhdan

Publication date: 1981

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

zbMATH Keywords

homologyirreducible representationsBorel subgroupsunipotent conjugacy classesisotypic componentrepresentations of Weyl groupslinear reductive algebraic groupSpringer basis

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items

A SIMPLE ALGORITHM FOR COMPUTING THE GLOBAL CRYSTAL BASIS OF AN IRREDUCIBLE U_q(sl_n)-MODULE, Polyhedra in the scheme space and the canonical basis in irreducible representations of \({\mathfrak gl}_ 3\), New directions in representation theory., Geometry of canonical bases and mirror symmetry, Tensor product multiplicities and convex polytopes in partition space, Gelfand–Tsetlin Bases for Classical Lie Algebras, Canonical Bases Arising from Quantized Enveloping Algebras, Induction and restriction of Kazhdan-Lusztig cells, W-graphs of representations of symmetric groups, Classification of simple Gelfand–Tsetlin modules of 𝔰𝔩(3)

Cites Work

• Unnamed Item
• On the fixed point set of a unipotent element on the variety of Borel subgroups
• A topological approach to Springer's representations
• Representations of Coxeter groups and Hecke algebras
• On the desingularization of the unipotent variety
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A construction of representations of Weyl groups
• Homology theory for locally compact spaces