On the concept of the rank of a spherical homogeneous space

DOI10.1070/RM1988v043n05ABEH001926zbMath0797.22002MaRDI QIDQ4711654

Dmitri N. Akhiezer

Publication date: 25 June 1992

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

homogeneous spacescharactersrankBorel subgroupsopen orbitsinvariant rational functionsspherical homogeneous spacesmaximal compact subgroupscomplex connected reductive algebraic groups

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Analysis on real and complex Lie groups (22E30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Noncompact Lie groups of transformations (57S20)

Related Items (2)

Gröbner theory and tropical geometry on spherical varieties ⋮ On Lie algebra decompositions, related to spherical homogeneous spaces

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