Division and the Giambelli Identity

Research paper by Susan Y. J. Wu, Arthur L. B. Yang

Indexed on: 23 Apr '05Published on: 23 Apr '05Published in: Mathematics - Combinatorics


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.