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arxiv: 0711.0735 · v1 · submitted 2007-11-05 · 🧮 math.CO · math.GT

On a Bruhat-like poset

classification 🧮 math.CO math.GT
keywords posetbiusbruhat-likecertaincompactificationcomputedescribefunction
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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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