This article is cited in 7 papers

Classification of double flag varieties of complexity 0 and 1

E. V. Ponomareva

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We obtain a classification of double flag varieties of complexity $0$ and $1$ and consider an application to the problem of decomposing tensor products of irreducible representations of semisimple Lie groups.

Keywords: semisimple Lie groups, double flag varieties, complexity, linear representations.

UDC: 512.813.4+512.845

MSC: 14L30, 14M17, 22E55

Received: 10.02.2012

DOI: 10.4213/im7963

 English version: Izvestiya: Mathematics, 2013, 77:5, 998–1020

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