Multinomial identities arising from the free probability theory
Combinatorics
2018-12-04 v2 Operator Algebras
Abstract
We prove a family of new identities fulfilled by multinomial coefficients, which were conjectured by Dykema and Haagerup. Our method bases on a study of the, so-called, triangular operator T by the means of the free probability theory.
Cite
@article{arxiv.math/0202077,
title = {Multinomial identities arising from the free probability theory},
author = {Piotr Sniady},
journal= {arXiv preprint arXiv:math/0202077},
year = {2018}
}
Comments
20 pages; figures in PSTricks