Multinomial identities arising from the free probability theory

Details Multinomial identities arising from the free probability theory Multinomial identities arising from the free probability theory

2002-02-08

arxiv.org/abs/math/0202077v2

J. Combin. Theory Ser. A, 101 (2003), no. 1, 1--19

Mathematics

Combinatorics

20 pages; figures in PSTricks

Scientific paper

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.

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