Rationally smooth algebraic monoids.

DOI10.1007/s00233-008-9104-2zbMath1178.20055OpenAlexW1972323119MaRDI QIDQ2391155

Lex E. Renner

Publication date: 24 July 2009

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-008-9104-2

zbMATH Keywords

idempotentstoric varietiesPoincaré polynomialsBetti numbersgroup embeddingsmonoid BB-cellsrationally smooth reductive monoidssemisimple algebraic monoids

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Algebraic monoids (20M32)

Related Items (8)

Betti Numbers of Toric Varieties and Eulerian Polynomials ⋮ Rational smoothness, cellular decompositions and GKM theory ⋮ The Betti Numbers of Simple Embeddings ⋮ On the Borel submonoid of a symplectic monoid ⋮ Algebraic rational cells and equivariant intersection theory ⋮ The \(H\)-polynomial of an irreducible representation. ⋮ Equivariant cohomology of rationally smooth group embeddings ⋮ Canonical Cellular Decomposition for 𝒥-Irreducible Monoids

Cites Work

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• Weyl groups, descent systems and Betti numbers.
• Descent systems for Bruhat posets
• 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
• Some theorems on actions of algebraic groups
• The \(H\)-polynomial of a semisimple monoid.
• Local structure of algebraic monoids
• Classification of Semisimple Algebraic Monoids
• THE GEOMETRY OF TORIC VARIETIES

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