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arxiv: math/0504487 · v1 · submitted 2005-04-24 · 🧮 math.CO

Division and the Giambelli Identity

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keywords giambelliidentitypolynomialsallowscasedivisionexpressingexpressions
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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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