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TOTAL POSITIVITY IN SPRINGER FIBRES
Quarterly Journal of Mathematics ( IF 0.7 ) Pub Date : 2020-06-22 , DOI: 10.1093/qmathj/haaa021
G Lusztig 1
Affiliation  

Let u be a unipotent element in the totally positive part of a complex reductive group. We consider the intersection of the Springer fibre at u with the totally positive part of the flag manifold. We show that this intersection has a natural cell decomposition which is part of the cell decomposition (Rietsch) of the totally positive flag manifold.

中文翻译:

弹力纤维的总准度

假设您是一个复杂的还原族的整体正部分的单能元素。我们考虑u处的Springer纤维与旗形歧管的完全正部分的交点。我们证明此交点具有自然的细胞分解,这是完全正向标记流形的细胞分解(Rietsch)的一部分。
更新日期:2020-06-23
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