Partition Analysis and Symmetrizing Operators

2004/04/04 by Amy M. Fu, Alain Lascoux, Fu, Amy M. +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.math/0404064

5 pages

arxiv created 2004/04/04 · arxiv updated 2009/12/01

Abstract

Using a symmetrizing operator, we give a new expression for the Omega operator used by MacMahon in Partition Analysis, and given a new life by Andrews and his coworkers. Our result is stated in terms of Schur functions.

Related

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• Macmahon's partition analysis IX:K-gon partitions
• Symmetric functions, codes of partitions and the KP hierarchy
• Andrews Style Partition Identities
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