Division and the Giambelli Identity

2005/04/24 by Susan Y. J. Wu, Wu, Susan Y. J., Arthur L. B. Yang +1
Mathematics · #05E05 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #math.CO #msc:05E05

paper · pdf · doi:10.48550/arxiv.math/0504487

9 pages, 1 figure

arxiv created 2005/04/24 · openalex publication_date 2005/04/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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