An explicit derivation of the Mobius function for Bruhat order

Details An explicit derivation of the Mobius function for Bruhat order An explicit derivation of the Mobius function for Bruhat order

2009-04-28

arxiv.org/abs/0904.4472v3

Mathematics

Combinatorics

9 pages; final version

Scientific paper

We give an explicit nonrecursive complete matching for the Hasse diagram of
the strong Bruhat order of any interval in any Coxeter group. This yields a new
derivation of the Mobius function, recovering a classical result due to Verma.

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