Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties
E. Akyildiz, J. B. Carrell, D. I. Lieberman (1986)
Compositio Mathematica
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Displaying similar documents to “Orbits of the Weyl group and a theorem of DeConcini and Procesi”
Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties
Cuspidal local systems and graded Hecke algebras, I
George Lusztig (1988)
Publications Mathématiques de l'IHÉS
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The index of centralizers of elements of reductive Lie algebras.
Charbonnel, Jean-Yves, Moreau, Anne (2010)
Documenta Mathematica
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Dual pairs and Kostant-Sekiguchi correspondence. II. Classification of nilpotent elements
Andrzej Daszkiewicz, Witold Kraśkiewicz, Tomasz Przebinda (2005)
Open Mathematics
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We classify the homogeneous nilpotent orbits in certain Lie color algebras and specialize the results to the setting of a real reductive dual pair. For any member of a dual pair, we prove the bijectivity of the two Kostant-Sekiguchi maps by straightforward argument. For a dual pair we determine the correspondence of the real orbits, the correspondence of the complex orbits and explain how these two relations behave under the Kostant-Sekiguchi maps. In particular we prove that for a dual...
A simultaneous Frobenius splitting for closures of conjugacy classes of nilpotent matrices
V. B. Mehta, Wilberd Van der Kallen (1992)
Compositio Mathematica
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Series of nilpotent orbits.
Landsberg, J.M., Manivel, Laurent, Westbury, Bruce W. (2004)
Experimental Mathematics
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On spherical nilpotent orbits and beyond
Dmitri I. Panyushev (1999)
Annales de l'institut Fourier
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We continue investigations that are concerned with the complexity of nilpotent orbits in semisimple Lie algebras. We give a characterization of the spherical nilpotent orbits in terms of minimal Levi subalgebras intersecting them. This provides a kind of canonical form for such orbits. A description minimal non-spherical orbits in all simple Lie algebras is obtained. The theory developed for the adjoint representation is then extended to Vinberg’s -groups. This yields a description...
On deformation method in invariant theory
Dmitri Panyushev (1997)
Annales de l'institut Fourier
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In this paper we relate the deformation method in invariant theory to spherical subgroups. Let be a reductive group, an affine -variety and a spherical subgroup. We show that whenever is affine and its semigroup of weights is saturated, the algebra of -invariant regular functions on has a -invariant filtration such that the associated graded algebra is the algebra of regular functions of some explicit horospherical subgroup of . The deformation method in its usual form,...