Dual pairs and Kostant-Sekiguchi correspondence. II: Classification of nilpotent elements

DOI10.2478/BF02475917zbMath1107.22007MaRDI QIDQ2496115

Witold Kraśkiewicz, Tomasz Przebinda, Andrzej Daszkiewicz

Publication date: 12 July 2006

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Color Lie (super)algebras (17B75) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian ⋮ Orbits, rings of invariants and Weyl groups for classical \(\Theta\)-groups ⋮ The wave front set correspondence for dual pairs with one member compact ⋮ The character and the wave front set correspondence in the stable range ⋮ Semisimple orbital integrals on the symplectic space for a real reductive dual pair ⋮ Local geometry of orbits for an ordinary classical Lie supergroup ⋮ Invariants and -spectrums of local theta lifts ⋮ Local theta lifting of generalized Whittaker models associated to nilpotent orbits ⋮ Theta lifting of nilpotent orbits for symmetric pairs ⋮ Dual pairs and Kostant-Sekiguchi correspondence. I

Cites Work

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• Remarks on real nilpotent orbits of a symmetric pair
• The nilpotent subvariety of the vector space associated to a symmetric pair
• The singularities of the closures of nilpotent orbits in certain symmetric pairs
• The closure of nilpotent orbits in the classical symmetric pairs and their singularities
• Conjugacy classes in linear groups
• Characters, dual pairs, and unitary representations
• Tensor product representations for orthosymplectic Lie superalgebras
• Nilpotent orbits and complex dual pairs
• Characteristic cycles and wave front cycles of representations of reductive Lie groups
• Dual pairs and Kostant-Sekiguchi correspondence. I
• Theta lifting of unitary lowest weight modules and their associated cycles
• The oscillator character formula for isometry groups of split forms in deep stable range
• Theta lifting of nilpotent orbits for symmetric pairs
• Closure ordering and the Kostant-Sekiguchi correspondence
• Invariant Distributions on Lie Algebras