Semisymmetric polynomials and the invariant theory of matrix vector pairs

Knop F (2001)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2001

Journal

Publisher: American Mathematical Society

Book Volume: 5

Pages Range: 224-266

DOI: 10.1090/S1088-4165-01-00129-7

Abstract

In this paper we introduce and investigate a one-parameter family of polynomials. They are semisymmetric, i.e. symmetric in the variables with odd and even index separately. In fact, the family forms a basis of the space of semisymmetric polynomials. For two values of the parameter r, namely r=½ and r=1, the polynomials have a representation theoretic meaning. In general, they form the semisymmetric analogue of (shifted) Jack polynomials.

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How to cite

APA:

Knop, F. (2001). Semisymmetric polynomials and the invariant theory of matrix vector pairs. Representation Theory, 5, 224-266. https://dx.doi.org/10.1090/S1088-4165-01-00129-7

MLA:

Knop, Friedrich. "Semisymmetric polynomials and the invariant theory of matrix vector pairs." Representation Theory 5 (2001): 224-266.

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