Regular Article: Using Schubert Basis to Compute with Multivariate Polynomials

  • Authors:

  • Axel Kohnert;Sébastien Veigneau

  • Affiliations:

  • Universität Bayreuth, Lehrstuhl Mathematik II, Universitätstr 30, 95447, Bayreuth, Deutschland;Université de Marne-la-Vallée, Institut Gaspard Monge, 2, rue de la Butte Verte, 93166, Noisy-le-Grand Cedex, France

  • Venue:
  • Advances in Applied Mathematics
  • Year:
  • 1997

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Abstract

Schubert polynomials are a linear basis of the ring of polynomials inx"1,...,x"nwith coefficients iny"1,...,y"n. We describe the multiplicative structure (multiplication by a single variable) of this space. We also describe the structure of the ring as a free module of rankn! over the ring of symmetric polynomials inx"1,...,x"n.