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arXiv · 1909.00896

Total positivity in Springer fibres

G. Lusztig
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Abstract

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.

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G. Lusztig. 2019-09-03. Total positivity in Springer fibres. https://arxiv.org/abs/1909.00896

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