English

Cauchy identities for universal Schubert polynomials

q-alg 2008-02-03 v1 Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.q-alg/9703047,
  title  = {Cauchy identities for universal Schubert polynomials},
  author = {Anatol N. Kirillov},
  journal= {arXiv preprint arXiv:q-alg/9703047},
  year   = {2008}
}

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PlainTeX, 16 pages