Specializations of MacMahon symmetric functions and the polynomial algebra
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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.