On a Bruhat-like poset

Mathematics – Combinatorics

Scientific paper

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19 pages, 4 figures

Scientific paper

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
M\"{o}bius function and we describe the topology of its order intervals.

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