Intersections of double cosets in algebraic groups

Intersections of double cosets in algebraic groups
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DOI:
10.1016/0019-3577(92)90028-j
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发表时间:
1992-03
期刊:
Indagationes Mathematicae
影响因子:
--
通讯作者:
R. Richardson
R. Richardson
中科院分区:
其他
文献类型:
--
作者:
R. Richardson

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本文研究连通代数群上双陪集的交问题。在适当的假设下,我们证明了这种交叉是横截的,是光滑的不可约簇。我们还证明了交的闭包是闭包的交。
This paper deals with intersections of double cosets on a connected algebraic group. Under appropriate hypotheses, we show that such intersections are transversal and are smooth irreducible varieties. We also show that the closure of the intersection is the intersection of the closures.