On a Bruhat-like poset
Combinatorics
2007-11-06 v1 Geometric Topology
Abstract
We investigate the poset of strata of a Schubert-like stratification of certain natural compactification of the space of hermitian matrices. We prove that this poset is a modular ortholattice, we compute its M\"{o}bius function and we describe the topology of its order intervals.
Cite
@article{arxiv.0711.0735,
title = {On a Bruhat-like poset},
author = {Liviu I. Nicolaescu},
journal= {arXiv preprint arXiv:0711.0735},
year = {2007}
}
Comments
19 pages, 4 figures