This article is cited in 11 papers

Spherical actions on flag varieties

R. S. Avdeev^ab, A. V. Petukhov<sup>c

a</sup> Moscow Institute of Open Education
^b National Research University "Higher School of Economics", Moscow
^c A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow

Abstract: For every finite-dimensional vector space $V$ and every $V$-flag variety $X$ we list all connected reductive subgroups in $\mathrm{GL}(V)$ acting spherically on $X$.
Bibliography: 28 titles.

Keywords: algebraic group, flag variety, spherical variety, nilpotent orbit.

UDC: 512.745

MSC: 14M15, 14M27

Received: 05.01.2014 and 21.06.2014

DOI: 10.4213/sm8322

 English version: Sbornik: Mathematics, 2014, 205:9, 1223–1263

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