The singularities of the closures of nilpotent orbits in certain symmetric pairs

DOI10.2748/tmj/1178228456zbMath0654.22004OpenAlexW2071000200MaRDI QIDQ1108390

Takuya Ohta

Publication date: 1986

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228456

zbMATH Keywords

singularitiesadjoint actioninvolutionCartan decompositionnilpotent orbitssymmetric pairadjoint groupcomplex reductive Lie algebra

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) General properties and structure of real Lie groups (22E15) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Orbit embedding for double flag varieties and Steinberg maps, Sheets in symmetric Lie algebras and slice induction, Codimension one connectedness of the graph of associated varieties, On local models with special parahoric level structure, Irregular locus of the commuting variety of reductive symmetric Lie algebras and rigid pairs, Quiver varieties and symmetric pairs, The closure of nilpotent orbits in the classical symmetric pairs and their singularities, Dual pairs and Kostant-Sekiguchi correspondence. II: Classification of nilpotent elements, Local models in the ramified case. III Unitary groups, Irreducible components of the nilpotent commuting variety of a symmetric semisimple Lie algebra, Classification of admissible nilpotent orbits in the classical real Lie algebras, An exotic Deligne-Langlands correspondence for symplectic groups., Nilpotent varieties in symmetric spaces and twisted affine Schubert varieties, Dual pairs and Kostant-Sekiguchi correspondence. I

Cites Work

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