Determinants Associated to Zeta Matrices of Posets

Details Determinants Associated to Zeta Matrices of Posets Determinants Associated to Zeta Matrices of Posets

2004-03-23

arxiv.org/abs/math/0403401v1

Mathematics

Combinatorics

14 pages, AMS-TeX

Scientific paper

We consider the matrix ${\frak Z}_P=Z_P+Z_P^t$, where the entries of $Z_P$
are the values of the zeta function of the finite poset $P$. We give a
combinatorial interpretation of the determinant of ${\frak Z}_P$ and establish
a recursive formula for this determinant in the case in which $P$ is a boolean
algebra.

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