Multinomial identities arising from free probability theory
نویسنده
چکیده
1.1. Overview. In order to answer some questions in the theory of operator algebras Dykema and Haagerup started investigation of the, so–called, triangular operator T [DH01]. Currently there are many different descriptions of this operator: in terms of random matrices, in terms of free probability theory and a purely combinatorial one (and we will recall them in the following). Dykema and Haagerup conjectured that the moments of this operator fulfill
منابع مشابه
Multinomial Identities Arising from the Free Probability Theory
PIOTR´SNIADY ABSTRACT. We prove a family of new identities fulfilled by multino-mial 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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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 101 شماره
صفحات -
تاریخ انتشار 2003