Closure relations for totally nonnegative cells in G/P
Algebraic Geometry
2007-05-23 v2
Abstract
The totally nonnegative part of a partial flag variety G/P is known to have a decomposition into semi-algebraic cells. We show that the closure of a cell is again a union of cells and give a combinatorial description of the closure relations. The totally nonnegative cells are defined by intersecting the totally nonnegative part with a certain stratification of G/P defined by Lusztig. We also verify the same closure relations for these strata.
Keywords
Cite
@article{arxiv.math/0509137,
title = {Closure relations for totally nonnegative cells in G/P},
author = {Konstanze Rietsch},
journal= {arXiv preprint arXiv:math/0509137},
year = {2007}
}
Comments
12 pages, 1 figure, improved references