Unipotent variety in the group compactification.

DOI10.1016/j.aim.2005.04.004zbMath1102.20032arXivmath/0410199OpenAlexW2070040681MaRDI QIDQ2497317

Xuhua He

Publication date: 4 August 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410199

zbMATH Keywords

wonderful compactificationsgroup compactificationsunipotent varietiesconnected simple algebraic groupsSteinberg fibers

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (11)

An analogue of Springer fibers in certain wonderful compactifications ⋮ Semistable locus of a group compactification ⋮ An extension of Bruhat's lemma. ⋮ The character sheaves on the group compactification. ⋮ On compactifications of the Steinberg zero-fiber ⋮ Character sheaves on the semi-stable locus of a group compactification. ⋮ Unipotent invariant matrices ⋮ Dimension of affine Springer fibers for groups ⋮ Frobenius splitting and geometry of \(G\)-Schubert varieties ⋮ The 𝐺-stable pieces of the wonderful compactification ⋮ GEOMETRY OF KOTTWITZ–VIEHMANN VARIETIES

Cites Work

• A vanishing theorem for group compactifications
• Classes unipotentes et sous-groupes de Borel
• Compactification of symmetric varieties
• Intersection cohomology of \(B\times B\)-orbit closures in group compactifications.
• Endomorphisms of linear algebraic groups
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