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Specializations of MacMahon symmetric functions and the polynomial algebra

โœ Scribed by Mercedes H. Rosas


Book ID
108315689
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
94 KB
Volume
246
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


MacMahon Symmetric Functions, the Partit
โœ Mercedes H. Rosas ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. In this article, we show that the MacMahon symmetric functions are the generating functions for the orbits of sets of functions indexed by partit

Specializations and extensions of the qu
โœ Dominique Foata; Guo-Niu Han ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 156 KB

We study some specializations and extensions of the quantum version of the MacMahon Master Theorem derived by Garoufalidis, Lรช and Zeilberger. In particular, we obtain a (t, q)-analogue for the Cartier-Foata non-commutative version and a semi-strong (t, q)-analogue for the contextual algebra.