M\"obius numbers of some modified generalized noncrossing partitions

Masaya Tomie

M\"obius numbers of some modified generalized noncrossing partitions

Combinatorics 2009-05-12 v2

Authors: Masaya Tomie

Abstract

In this paper we will give a M\"obius number of $NC^{k}(W) \setminus \bf{mins} \cup \{\hat{0} \}$ for a Coxeter group $W$ which contains an affirmative answer for the conjecture 3.7.9 in Armstrong's paper [ Generalized noncrossing partitions and combinatorics of Coxeter groups. arXiv:math/0611106].

Keywords

noncrossing partitions

Cite

@article{arxiv.0905.1660,
  title  = {M\"obius numbers of some modified generalized noncrossing partitions},
  author = {Masaya Tomie},
  journal= {arXiv preprint arXiv:0905.1660},
  year   = {2009}
}

Comments

4 pages

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