On a Bruhat-like poset
Abstract
Description
We investigate the poset of strata of a Schubert-like stratification of certain natural compactification of the space of hermitian $n\times n$ matrices. We prove that this poset is a modular ortholattice, we compute its Möbius function and we describe the topology of its order intervals.
19 pages, 4 figures
19 pages, 4 figures