Annals of Combinatorics 1 (1997) 367-375


Multiplication of a Schubert Polynomial by a Schur Polynomial

Axel Kohnert

Lehrstuhl Mathematik II, Universität Bayreuth, 95440 Bayreuth, Germany
Kohnert@uni-bayreuth.de

Received August 14, 1997

AMS Subject Classification: 05E05, 14M15

Abstract. Schur polynomials are a special case of Schubert polynomials. In this paper, we give an algorithm to compute the product of a Schubert polynomial with a Schur polynomial on the basis of Schubert polynomials. This is a special case of the general problem of the multiplication of two Schubert polynomials, where the corresponding algorithm is still missing. The main tools for the given algorithm is a factorization property of a special class of Schubert polynomials and the transition formula for Schubert polynomials.

Keywords: Schubert polynomial, Schur function, transition formula


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