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Transactions of the Moscow Mathematical Society

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Excellent affine spherical homogeneous spaces of semisimple algebraic groups

Author: R. S. Avdeev
Translated by: E. Khukhro
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 71 (2010).
Journal: Trans. Moscow Math. Soc. 2010, 209-240
MSC (2010): Primary 20G05; Secondary 14M17, 20G20, 32M10
Published electronically: December 21, 2010
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Abstract: A spherical homogeneous space $ G/H$ of a connected semisimple algebraic group $ G$ is called excellent if it is quasi-affine and its weight semigroup is generated by disjoint linear combinations of the fundamental weights of the group $ G$. All the excellent affine spherical homogeneous spaces are classified up to isomorphism.

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Additional Information

R. S. Avdeev
Affiliation: Moscow State University

Keywords: Spherical homogeneous space, semisimple algebraic group, Lie algebra, affine, highest weights
Published electronically: December 21, 2010
Additional Notes: This research was partially supported by the Russian Foundation for Basic Research (grant no.09-01-00648a), as well as by the grant NSh-1983.2008.1.
Article copyright: © Copyright 2010 American Mathematical Society