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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Immanants, Schur functions, and the MacMahon master theorem


Authors: I. P. Goulden and D. M. Jackson
Journal: Proc. Amer. Math. Soc. 115 (1992), 605-612
MSC: Primary 05E05; Secondary 05A17, 05E10, 15A15
MathSciNet review: 1086326
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Abstract: The relationship between the immanant and the Schur symmetric function is examined. Two expressions for the immanant are given in terms of the determinant. Generalisations include Foata and Zeilberger's $ \beta $-extension of the MacMahon Master theorem. The relationships to some little known results of Littlewood and to idempotents constructed by Young are given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1086326-5
PII: S 0002-9939(1992)1086326-5
Article copyright: © Copyright 1992 American Mathematical Society