English

An explicit derivation of the Mobius function for Bruhat order

Combinatorics 2009-12-11 v3

Abstract

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.

Keywords

Cite

@article{arxiv.0904.4472,
  title  = {An explicit derivation of the Mobius function for Bruhat order},
  author = {Brant C. Jones},
  journal= {arXiv preprint arXiv:0904.4472},
  year   = {2009}
}

Comments

9 pages; final version

R2 v1 2026-06-21T12:56:02.313Z