Immanants, Schur functions, and the MacMahon master theorem
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- by I. P. Goulden and D. M. Jackson PDF
- Proc. Amer. Math. Soc. 115 (1992), 605-612 Request permission
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.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 605-612
- MSC: Primary 05E05; Secondary 05A17, 05E10, 15A15
- DOI: https://doi.org/10.1090/S0002-9939-1992-1086326-5
- MathSciNet review: 1086326