Dual pairs and Kostant-Sekiguchi correspondence. I

DOI10.1006/jabr.2001.9080zbMath1003.22003OpenAlexW2082009974MaRDI QIDQ1604352

Tomasz Przebinda, Witold Kraśkiewicz, Andrzej Daszkiewicz

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9080

zbMATH Keywords

orbitsKostant-Sekiguchi correspondencedual pair

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items

Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian ⋮ Theta lifting of unitary lowest weight modules and their associated cycles ⋮ Invariants and -spectrums of local theta lifts ⋮ Dual pairs and Kostant-Sekiguchi correspondence. II: Classification of nilpotent elements

Cites Work

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• Classification of admissible nilpotent orbits in the classical real Lie algebras
• The nilpotent subvariety of the vector space associated to a symmetric pair
• The singularities of the closures of nilpotent orbits in certain symmetric pairs
• Closures of conjugacy classes of matrices are normal
• Nilpotent orbits and complex dual pairs
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• The oscillator character formula for isometry groups of split forms in deep stable range
• Picard-Lefschetz theory and characters of a semisimple Lie group
• The oscillator correspondence of orbital integrals, for pairs of type one in the stable range
• Dual pairs and Kostant-Sekiguchi correspondence. II: Classification of nilpotent elements
• Orbits and Representations Associated with Symmetric Spaces
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