Cauchy identities for universal Schubert polynomials

Details Cauchy identities for universal Schubert polynomials Cauchy identities for universal Schubert polynomials

1997-03-30

arxiv.org/abs/q-alg/9703047v1

Mathematics

Quantum Algebra

PlainTeX, 16 pages

Scientific paper

We prove the Cauchy type identities for the universal double Schubert polynomials, introduced recently by W. Fulton. As a corollary, the determinantal formulae 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 multiparameter deformation of Schubert polynomials.

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