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Division and the Giambelli Identity

Susan Y. J. Wu, Arthur L. B. Yang

math.COarXiv:math/0504487

Abstract

Given two polynomials f(x) and g(x), we extend the formula expressing the remainder in terms of the roots of these two polynomials to the case where f(x) is a Laurent polynomial. This allows us to give new expressions of a Schur function, which generalize the Giambelli identity.

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