 |
Discrete Mathematics & Theoretical Computer Science |
Alain Lascoux ; Jean-Christophe Novelli ; Jean-Yves Thibon - Noncommutative symmetric functions with matrix parameters
dmtcs:3059 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) - https://doi.org/10.46298/dmtcs.3059Noncommutative symmetric functions with matrix parametersArticle
Authors: Alain Lascoux 1; Jean-Christophe Novelli 1; Jean-Yves Thibon 
1
We define new families of noncommutative symmetric functions and quasi-symmetric functions depending on two matrices of parameters, and more generally on parameters associated with paths in a binary tree. Appropriate specializations of both matrices then give back the two-vector families of Hivert, Lascoux, and Thibon and the noncommutative Macdonald functions of Bergeron and Zabrocki.
Source: HAL:hal-01283108v1
Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Imported on: January 31, 2017
Keywords: Macdonald polynomials,Noncommutative symmetric functions, Quasi-symmetric functions,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
3 Documents citing this article
Consultation statistics
This page has been seen 320 times.
This article's PDF has been downloaded 393 times.