Total Positivity in Springer Fibres

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 22 Jun 2020Embargo end date: 01 Jan 2019 United States English Publisher:Oxford University Press (OUP)Journal:The Quarterly Journal of Mathematics, volume 72, pages 31-49 (issn: 0033-5606, eissn: 1464-3847,

Copyright policy )Funded by:NSF | Geometric Methods in the ...

Authors: Lusztig, G;

doi: 10.1093/qmathj/haaa021 , 10.48550/arxiv.1909.00896

arXiv: 1909.00896

handle: 1721.1/136100.2 , 1721.1/136100

Total Positivity in Springer Fibres

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Abstract

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.

Country

United States

Related Organizations

Massachusetts Institute of Technology
United States

Keywords

FOS: Mathematics, Representation Theory (math.RT), Mathematics - Representation Theory

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