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Working paper

Generically transitive actions on multiple flag varieties

arxiv.org. math. Cornell University, 2010. No. arXiv:1007.1353v1.
Deviatov R.

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 [7], 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), (b) the number of G-orbits on the multiple flag variety is finite.