Aval, Jean-Christophe; Féray, Valentin; Novelli, Jean-Christophe; Thibon, Jean-Yves (2015). Quasi-symmetric functions as polynomial functions on Young diagrams. Journal of Algebraic Combinatorics, 41(3):669-706.
We determine the most general form of a smooth function on Young diagrams, that is, a polynomial in the interlacing or multirectangular coordinates whose value depends only on the shape of the diagram. We prove that the algebra of such functions is isomorphic to quasi-symmetric functions, and give a noncommutative analog of this result.
We determine the most general form of a smooth function on Young diagrams, that is, a polynomial in the interlacing or multirectangular coordinates whose value depends only on the shape of the diagram. We prove that the algebra of such functions is isomorphic to quasi-symmetric functions, and give a noncommutative analog of this result.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory
Physical Sciences > Discrete Mathematics and Combinatorics |
| Language: | English |
| Date: | 2015 |
| Deposited On: | 16 Jan 2015 12:51 |
| Last Modified: | 13 Nov 2023 02:37 |
| Publisher: | Springer |
| ISSN: | 0925-9899 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1007/s10801-014-0549-y |
Aval, Jean-Christophe