Harmonic analysis on a class of spherical homogeneous spaces

DOI10.1134/S000143461111006XzbMath1286.43010OpenAlexW2058353187MaRDI QIDQ2435860

N. E. Gorfinkel'

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461111006x

zbMATH Keywords

irreducible representationcotangent bundleuniversal enveloping algebraBorel subgroupsemisimple complex algebraic groupinvariant differential operatorharmonic analysis on homogeneous spacesspherical homogeneous spaceextended weight semigrouphomogeneous linear bundle

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Universal enveloping (super)algebras (17B35) Modular representations and characters (20C20) Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) General properties and structure of complex Lie groups (22E10) Spectral synthesis on groups, semigroups, etc. (43A45) Universal enveloping algebras of Lie algebras (16S30) Representations of group algebras (22D20)

Cites Work

• Weylgruppe und Momentabbildung. (Weyl group and moment map)
• Complexity and rank of homogeneous spaces
• A Harish-Chandra homomorphism for reductive group actions
• Commutative homogeneous spaces and co-isotropic symplectic actions
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Actions of the Derived Group of a Maximal Unipotent Subgroup on G-Varieties
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