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Transactions of the Moscow Mathematical Society
Transactions of the Moscow Mathematical Society
ISSN 1547-738X(online) ISSN 0077-1554(print)

On solvable spherical subgroups of semisimple algebraic groups

Author: R. S. Avdeev
Translated by: E. Khukhro
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 72 (2011), vypusk 1.
Journal: Trans. Moscow Math. Soc. 2011, 1-44
MSC (2010): Primary 20G07; Secondary 14M27, 14M17
Posted: January 12, 2012
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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.

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Additional Information

R. S. Avdeev
Affiliation: Moscow State University, Russia

PII: S 0077-1554(2012)00192-7
Keywords: Algebraic group, homogeneous space, spherical subgroup, solvable subgroup
Posted: January 12, 2012
Additional Notes: This research was partially supported by the Russian Foundation for Basic Research (grant no. 09-01-00648-a).
Article copyright: © Copyright 2012 American Mathematical Society