半单代数群的优秀仿射球面齐次空间

Q2 Mathematics

Transactions of the Moscow Mathematical Society Pub Date : 2010-01-01 DOI:10.1090/S0077-1554-2010-00183-5

R. Avdeev

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引用次数: 5

摘要

如果连通半单代数群G的球齐次空间eg /H是拟仿射的，则称其为优秀的球齐次空间eg /H，其权半群是由群G的基本权的不相交线性组合产生的。

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Excellent affine spherical homogeneous spaces of semisimple algebraic groups

A spherical homogeneous spaceG/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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来源期刊

Transactions of the Moscow Mathematical Society Mathematics-Mathematics (miscellaneous)

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期刊介绍： This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.