representations and combinatorial identities

Author:
Amitai Regev

Journal:
Trans. Amer. Math. Soc. **353** (2001), 4371-4404

MSC (2000):
Primary 20C32

DOI:
https://doi.org/10.1090/S0002-9947-01-02772-6

Published electronically:
June 14, 2001

MathSciNet review:
1851175

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Abstract: For various probability measures on the space of the infinite standard Young tableaux we study the probability that in a random tableau, the entry equals a given number . Beside the combinatorics of finite standard tableaux, the main tools here are from the Vershik-Kerov character theory of . The analysis of these probabilities leads to many explicit combinatorial identities, some of which are related to hypergeometric series.

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Additional Information

**Amitai Regev**

Affiliation:
Department of Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel - and - Department of Mathematics, Pennsylvania State University, State College, Pennsylvania 16802

Address at time of publication:
Department of Mathematics, The Weizmann Institute of Science, Rehovot 76100, Israel

Email:
regev@wisdom.weizmann.ac.il

DOI:
https://doi.org/10.1090/S0002-9947-01-02772-6

Received by editor(s):
March 14, 1999

Published electronically:
June 14, 2001

Additional Notes:
This work was partially supported by ISF grant 6629/1

Article copyright:
© Copyright 2001
American Mathematical Society