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On the Multiplication of Schubert Polynomials

✍ Scribed by Rudolf Winkel

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 276 KB
Volume: 20
Category: Article
ISSN: 0196-8858
DOI: 10.1006/aama.1997.0566

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✦ Synopsis

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.

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