Excellent affine spherical homogeneous spaces of semisimple algebraic groups
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R. S. Avdeev
Translated by: E. Khukhro - Trans. Moscow Math. Soc. 2010, 209-240
- DOI: https://doi.org/10.1090/S0077-1554-2010-00183-5
- 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.References
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Bibliographic Information
- R. S. Avdeev
- Affiliation: Moscow State University
- Email: suselr@yandex.ru
- 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.
- © Copyright 2010 American Mathematical Society
- Journal: Trans. Moscow Math. Soc. 2010, 209-240
- MSC (2010): Primary 20G05; Secondary 14M17, 20G20, 32M10
- DOI: https://doi.org/10.1090/S0077-1554-2010-00183-5
- MathSciNet review: 2760045