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Sbornik: Mathematics, 2014, Volume 205, Issue 9, Pages 1223–1263
DOI: https://doi.org/10.1070/SM2014v205n09ABEH004416
(Mi sm8322)
 

This article is cited in 9 scientific papers (total in 9 papers)

Spherical actions on flag varieties

R. S. Avdeevab, A. V. Petukhovc

a 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
References:
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.
Received: 05.01.2014 and 21.06.2014
Bibliographic databases:
Document Type: Article
UDC: 512.745
MSC: 14M15, 14M27
Language: English
Original paper language: Russian
Citation: R. S. Avdeev, A. V. Petukhov, “Spherical actions on flag varieties”, Sb. Math., 205:9 (2014), 1223–1263
Citation in format AMSBIB
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\by R.~S.~Avdeev, A.~V.~Petukhov
\paper Spherical actions on flag varieties
\jour Sb. Math.
\yr 2014
\vol 205
\issue 9
\pages 1223--1263
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  • https://doi.org/10.1070/SM2014v205n09ABEH004416
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