Journal Articles Journal of Algebra Year : 2008

Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde

Abstract

We investigate the link between rectangular Jack polynomials and Hankel hyperdeterminants. As an application we give an expression of the even power of the Vandermonde in term of Jack polynomials.

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hal-00173319 , version 1 (19-09-2007)

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Hacene Belbachir, Adrien Boussicault, Jean-Gabriel Luque. Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde. Journal of Algebra, 2008, 320 (11), pp.3911-3925. ⟨10.1016/j.jalgebra.2008.06.015⟩. ⟨hal-00173319⟩
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