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A linear operator for symmetric functions and tableaux in a strip with given trace

✍ Scribed by I.P. Goulden

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 442 KB
Volume: 99
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(92)90367-o

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✦ Synopsis

Goulden, I.P., A linear operator for symmetric functions and tableaux in a strip with given trace, Discrete Mathematics 99 (1992) 69-77.

The sum of Schur symmetric functions in a countable set of variables, over partitions with given trace and upper bound on the number of parts, is evaluated. This generalizes results of Gordon (1971). The method is to extend an analogous sum in a finite set of variables by means of a linear operator.

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