Total positivity in Springer fibres
Representation Theory
2019-10-29 v4
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.
Cite
@article{arxiv.1909.00896,
title = {Total positivity in Springer fibres},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:1909.00896},
year = {2019}
}
Comments
20 pages. A new section has been added