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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
English version PDF (780 kB) Citations (9)
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DOI: https://doi.org/10.1070/SM2014v205n09ABEH004416
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.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00704
Deutsche Forschungsgemeinschaft SFB701
Mathematisches Forschungsinstitut Oberwolfach
Dynasty Foundation
Max-Planck-Institut für Mathematik
Received: 05.01.2014 and 21.06.2014
Russian version:
Matematicheskii Sbornik, 2014, Volume 205, Number 9, Pages 3–48
DOI: https://doi.org/10.4213/sm8322
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”, Mat. Sb., 205:9 (2014), 3–48; Sb. Math., 205:9 (2014), 1223–1263
Citation in format AMSBIB
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    Russian version PDF:209
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    References:70
    First page:48
     
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