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Trudy Moskovskogo Matematicheskogo Obshchestva
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Trudy Moskovskogo Matematicheskogo Obshchestva, 2011, Volume 72, Issue 1, Pages 5–62 (Mi mmo11)  
This article is cited in 9 scientific papers (total in 9 papers)

On solvable spherical subgroups of semisimple algebraic groups

R. S. Avdeev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (532 kB) Citations (9)
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Abstract: We develop a structure theory of connected solvable spherical subgroups in semisimple algebraic groups. Based on this theory, we obtain an explicit classification of all such subgroups up to conjugacy.
Key words and phrases: algebraic group, homogeneous space, spherical subgroup, solvable subgroup.
Received: 26.10.2010
English version:
Transactions of the Moscow Mathematical Society, 2011, Volume 72, Pages 1–44
DOI: https://doi.org/10.1090/S0077-1554-2012-00192-7
Bibliographic databases:
Document Type: Article
UDC: 512.743+512.815.7
MSC: Primary 20G07; Secondary 14M27, 14M17
Language: Russian
Citation: R. S. Avdeev, “On solvable spherical subgroups of semisimple algebraic groups”, Tr. Mosk. Mat. Obs., 72, no. 1, MCCME, Moscow, 2011, 5–62; Trans. Moscow Math. Soc., 72 (2011), 1–44
Citation in format AMSBIB
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\by R.~S.~Avdeev
\paper On solvable spherical subgroups of semisimple algebraic groups
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\yr 2011
\vol 72
\issue 1
\pages 5--62
\publ MCCME
\publaddr Moscow
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\elib{https://elibrary.ru/item.asp?id=21369335}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2011
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\crossref{https://doi.org/10.1090/S0077-1554-2012-00192-7}
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    This publication is cited in the following 9 articles:
    1. Roman Avdeev, “Degenerations of spherical subalgebras and spherical roots”, Commun. Contemp. Math., 26:06 (2024)  crossref
    2. Avdeev R., “On Extended Weight Monoids of Spherical Homogeneous Spaces”, Transform. Groups, 26:2 (2021), 403–431  crossref  mathscinet  isi  scopus
    3. Borovoi M., “Equivariant Models of Spherical Varieties”, Transform. Groups, 25:2 (2020), 391–439  crossref  mathscinet  zmath  isi  scopus
    4. Gandini J., Pezzini G., “Orbits of Strongly Solvable Spherical Subgroups on the Flag Variety”, J. Algebr. Comb., 47:3 (2018), 357–401  crossref  mathscinet  zmath  isi  scopus
    5. Avdeev R., “Strongly Solvable Spherical Subgroups and Their Combinatorial Invariants”, Sel. Math.-New Ser., 21:3 (2015), 931–993  crossref  mathscinet  zmath  isi  elib  scopus
    6. Timashev D.A., “on Quotients of Affine Spherical Varieties By Certain Unipotent Subgroups”, Int. Math. Res. Notices, 2015, no. 10, 2865–2886  crossref  mathscinet  zmath  isi  elib  scopus
    7. Perrin N., “On the Geometry of Spherical Varieties”, Transform. Groups, 19:1 (2014), 171–223  crossref  mathscinet  zmath  isi  elib  scopus
    8. R. S. Avdeev, “Normalizers of Solvable Spherical Subgroups”, Math. Notes, 94:1 (2013), 20–31  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    9. R. S. Avdeev, N. E. Gorfinkel, “Harmonic Analysis on Spherical Homogeneous Spaces with Solvable Stabilizer”, Funct. Anal. Appl., 46:3 (2012), 161–172  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Moskovskogo Matematicheskogo Obshchestva
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