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A vanishing theorem for group compactifications
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This article is published in Mathematische Annalen.The article was published on 1987-03-01. It has received 62 citations till now. The article focuses on the topics: Brouwer fixed-point theorem & Fixed-point theorem.read more
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Compactifications of Symmetric and Locally Symmetric Spaces
Armand Borel,Lizhen Ji +1 more
TL;DR: A review of classical compactifications of Symmetric Spaces can be found in this article, along with a comparison of the Oshima-Sekiguchi Compactification of G/Hw (R) and its real points.
Journal ArticleDOI
Equivariant Chow groups for torus actions
TL;DR: In this article, the authors study Edidin and Graham's equivariant Chow groups in the case of torus actions and obtain a presentation of the Chow ring of any smooth, projective spherical variety.
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The behaviour at infinity of the Bruhat decomposition
TL;DR: For a connected reductive group G and a Borel subgroup B, this paper studied the closures of double classes BgB in a regular compactification of G and showed that these closures intersect properly all (G \times G) orbits, with multiplicity one, and described the intersections.
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On the geometry of spherical varieties
TL;DR: A survey article on the geometry of spherical varieties can be found in this paper, where the authors present an invited survey for transformation groups, which includes a discussion of transformation groups and transformation groups.
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Compactification of symmetric varieties
C. De Concini,T. A. Springer +1 more
TL;DR: In this paper, the authors considered the symmetric quotient G/H, where G is an adjoint semi-simple group over a field k of characteristic 2 and H is the fixed point group of an involutorial automorphism of G which is defined over k. In the case k = C, De Concini and Procesi (1983) constructed a "wonderful" compactification ofG/H.
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Journal ArticleDOI
The geometry of toric varieties
TL;DR: Affine toric varieties have been studied in this article, where the definition of an affine Toric variety and its properties have been discussed, including cones, lattices, and semigroups.
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Representations of algebraic groups.
TL;DR: In this article, the irreducible representations of semisimple algebraic groups of characteristic p 0 were studied, in particular the rational representations, and all of the representations of corresponding finite simple groups.
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On some bruhat decomposition and the structure of the hecke rings of p-Adic chevalley groups
TL;DR: In this article, the authors present a legal opinion on the use of commercial or impression systématiques in the context of the IHES agreement with the conditions générales d'utilisation.
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Frobenius splitting and cohomology vanishing for Schubert varieties
TL;DR: In this article, it was shown that the Cartier operator can give a manageable criterion for Frobenius splitting of Schubert varieties in characteristic p > 0, and that the map in cohomology H'(X, L) -+ H' (X, X, F*LP) = H'((X, LP), LP) is an injection.