Classification of double flag varieties of complexity 0 and 1

DOI10.1070/IM2013v077n05ABEH002667zbMath1284.14063arXiv1204.1988OpenAlexW2022856701MaRDI QIDQ2866964

E. V. Ponomareva

Publication date: 10 December 2013

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1988

zbMATH Keywords

linear representationdouble flag varietycomplexity of actionSemisimple algebraic group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Semisimple Lie groups and their representations (22E46)

Related Items

Diagonal orbits in a type a double flag variety of complexity one, Branching rules related to spherical actions on flag varieties, Multiple flag varieties, Invariants of the Cox rings of double flag varieties of low complexity for exceptional groups, Spherical actions on isotropic flag varieties and related branching rules, Invariants of the Cox rings of low-complexity double flag varieties for classical groups, On the geometry of spherical varieties, Dense \(\mathbb{P}{GL}\)-orbits in products of Grassmannians

Cites Work

• Groupe de Picard et nombres caractéristiques des variétés sphériques. (Picard group and characteristic numbers of spheric varieties.)
• Complexity of action of reductive groups
• Complexity and rank of double cones and tensor product decompositions
• On spherical double cones
• Cartier divisors and geometry of normal \(G\)-varieties
• Complexity and rank of actions in invariant theory
• Natural differential operations on manifolds: an algebraic approach
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