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- Title
Generically Transitive Actions on Multiple Flag Varieties.
- Authors
Devyatov, Rostislav
- Abstract
Let G be a semisimple algebraic group whose decomposition into the product of simple components does not contain simple groups of type A, and P⊆G be a parabolic subgroup. Extending the results of Popov [8], we enumerate all triples (G,P,n) such that (a) there exists an open G-orbit on the multiple flag variety G/P×G/P×⋯×G/P (n factors) and (b) the number of G-orbits on the multiple flag variety is finite.
- Subjects
FLAG manifolds (Mathematics); PARABOLIC differential equations; ISOMORPHISM (Mathematics); MATHEMATICAL proofs; LIE algebras; DYNKIN diagrams
- Publication
IMRN: International Mathematics Research Notices, 2014, Vol 2014, Issue 11, p2972
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnt019