Q-operator and factorized separation chain for Jack polynomials

Mangazeev, Vladimir; Kuznetsov, V; Sklyanin, Evgeny

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Q-operator and factorized separation chain for Jack polynomials

Date

2003

Authors

Mangazeev, Vladimir

Kuznetsov, V

Sklyanin, Evgeny

Publisher

Elsevier

Abstract

Applying Baxter's method of the Q-operator to the set of Sekiguchi's commuting partial differential operators we show that Jack polynomials Pλ(1/g) (x1, ...,xn) are eigenfunctions of a one-parameter family of integral operators Qz. The operators Qz are e