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JOURNALS // Trudy Moskovskogo Matematicheskogo Obshchestva // Archive

Tr. Mosk. Mat. Obs., 2011 Volume 72, Issue 1, Pages 5–62 (Mi mmo11)

This article is cited 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

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.

UDC: 512.743+512.815.7

MSC: Primary 20G07; Secondary 14M27, 14M17

Received: 26.10.2010


 English version:
Transactions of the Moscow Mathematical Society, 2011, 72, 1–44

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