Normality of nilpotent varieties in \(E_{6}\).

DOI10.1016/S0021-8693(03)00416-2zbMath1041.22009arXivmath/0205268OpenAlexW2062012545MaRDI QIDQ1419014

Eric Sommers

Publication date: 14 January 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205268

zbMATH Keywords

Lie algebranilpotent orbitorbit closuresmall representationnormal variety

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Classical groups (algebro-geometric aspects) (14L35) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items

Cohomology of flag varieties and the Brylinski-Kostant filtration. ⋮ On the coordinate ring of spherical conjugacy classes. ⋮ Cohomology of line bundles on the cotangent bundle of a Grassmannian ⋮ Generic singularities of nilpotent orbit closures ⋮ Geometric Satake, Springer correspondence and small representations ⋮ Simple modules of classical linear groups with normal closures of maximal torus orbits. ⋮ Singularities of \(G\)-saturation ⋮ On the irreducibility of associated varieties of \(W\)-algebras ⋮ Regular functions on spherical nilpotent orbits in complex symmetric pairs: exceptional cases ⋮ Quotients for Sheets of Conjugacy Classes ⋮ A characterization of nilpotent orbit closures among symplectic singularities ⋮ Real structures on nilpotent orbit closures ⋮ Perverse coherent sheaves and the geometry of special pieces in the unipotent variety. ⋮ Cohomology for quantum groups via the geometry of the nullcone ⋮ Normality of orbit closures in the enhanced nilpotent cone ⋮ Equivalence Classes of Ideals in the Nilradical of a Borel Subalgebra

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