On the Multiplication of Schubert Polynomials
On the Multiplication of Schubert Polynomials
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DOI：
10.1006/aama.1997.0566
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发表时间：
1998
影响因子：
1.1
通讯作者：
Rudolf Winkel
中科院分区：
文献类型：
--
作者：
Rudolf Winkel
Finding a combinatorial rule for the multiplication of Schubert polynomials is a long standing problem. In this paper we give a combinatorial proof of the extended Pieri rule as conjectured by N. Bergeron and S. Billey, which says how to multiply a Schubert polynomial by a complete or elementary symmetric polynomial, and describe some observations in the direction of a general rule.
