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On a conjecture of Stanley on Jack symmetric functions

✍ Scribed by Kazuhiko Koike

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 287 KB
Volume: 115
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)90490-k

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✦ Synopsis

Koike, K., On a conjecture of Stanley on Jack symmetric functions, Discrete Mathematics 115 (1993) 211-216.

The Jack symmetric function J,(x; G() is a symmetric function with interesting properties that J,(x; 2) is a spherical function of the symmetric pair (GL(n, FQ O(n, [w)) and that J,(x; 1) is the Schur function S,(x). Many interesting conjectures about the combinatorial properties of J,(x;cc) are given by Stanley (1989). In this paper we give an affirmative answer to one of his conjectures.

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