An Explicit Cell Decomposition of the Wonderful Compactification of a Semisimple Algebraic Group

DOI10.4153/CMB-2003-014-1zbMath1044.14024MaRDI QIDQ4408616

Lex E. Renner

Publication date: 2003

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

wonderful compactificationcell decompositiongeneralized Bruhat decomposition

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Regular semigroups (20M17)

Related Items (11)

Extending the Bruhat order and the length function from the Weyl group to the Weyl monoid. ⋮ Descent systems for Bruhat posets ⋮ The Betti Numbers of Simple Embeddings ⋮ SL2-Regular Subvarieties of Complete Quadrics ⋮ The \(H\)-polynomial of an irreducible representation. ⋮ The \(H\)-polynomial of a semisimple monoid. ⋮ Bruhat-Chevalley order in reductive monoids. ⋮ THE RENNER MONOIDS AND CELL DECOMPOSITIONS OF THE SYMPLECTIC ALGEBRAIC MONOIDS ⋮ The Maximal Chains of the Extended Bruhat Orders on the  × -Orbits of an Infinite Renner Monoid ⋮ Möbius function on cross-section lattices. ⋮ Canonical Cellular Decomposition for 𝒥-Irreducible Monoids

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