Abstract
We prove the Cauchy type identities for the universal double Schubert polynomials recently introduced by W. Fulton. As a corollary, the determinantal formula for some specializations of the universal double Schubert polynomials corresponding to the Grassmannian permutations are obtained. We also introduce and study the universal Schur functions and a multiparameter deformation of Schubert polynomials. Bibliography: 13 titles.
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