Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
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
Published electronically: January 12, 2012
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the Moscow Mathematical Society with MSC (2010): 20G07, 14M27, 14M17

Retrieve articles in all journals with MSC (2010): 20G07, 14M27, 14M17


Additional Information

R. S. Avdeev
Affiliation: Moscow State University, Russia
Email: suselr@yandex.ru

DOI: http://dx.doi.org/10.1090/S0077-1554-2012-00192-7
PII: S 0077-1554(2012)00192-7
Keywords: Algebraic group, homogeneous space, spherical subgroup, solvable subgroup
Published electronically: 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