The \(H\)-polynomial of an irreducible representation.

DOI10.1016/j.jalgebra.2011.02.011zbMath1239.20079OpenAlexW2020204056MaRDI QIDQ645247

Lex E. Renner

Publication date: 8 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.02.011

zbMATH Keywords

Weyl groupsirreducible representationsreductive monoidsRenner monoids\(H\)-polynomialsBB-cellscellular decompositionsdescent systemsrationally smooth embeddings

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Compactifications; symmetric and spherical varieties (14M27) Algebraic monoids (20M32)

Related Items (4)

Rational smoothness, cellular decompositions and GKM theory ⋮ The Betti Numbers of Simple Embeddings ⋮ A geometric interpretation of the intertwining number ⋮ Equivariant cohomology of rationally smooth group embeddings

Cites Work

• Weyl groups, descent systems and Betti numbers.
• Descent systems for Bruhat posets
• Analogue of the Bruhat decomposition for algebraic monoids
• Classification of semisimple varieties
• The system of idempotents and the lattice of \({\mathcal J}\)-classes of reductive algebraic monoids
• Rational smoothness and fixed points of torus actions
• The behavior at infinity of the Bruhat decomposition
• Singular loci of Schubert varieties
• Intersection cohomology of reductive varieties
• Linear algebraic monoids.
• Intersection cohomology of \(B\times B\)-orbit closures in group compactifications.
• Some theorems on actions of algebraic groups
• Rationally smooth algebraic monoids.
• The \(H\)-polynomial of a semisimple monoid.
• Canonical Cellular Decomposition for 𝒥-Irreducible Monoids
• Local structure of algebraic monoids
• THE GEOMETRY OF TORIC VARIETIES
• A Characterization of Homology Manifolds
• An Explicit Cell Decomposition of the Wonderful Compactification of a Semisimple Algebraic Group
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