Header

UZH-Logo

Maintenance Infos

Quasi-symmetric functions as polynomial functions on Young diagrams


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.

Abstract

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.

Abstract

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.

Statistics

Citations

3 citations in Web of Science®
3 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

0 downloads since deposited on 16 Jan 2015
0 downloads since 12 months

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2015
Deposited On:16 Jan 2015 12:51
Last Modified:05 Apr 2016 18:47
Publisher:Springer
ISSN:0925-9899
Publisher DOI:https://doi.org/10.1007/s10801-014-0549-y

Download

Preview Icon on Download
Content: Published Version
Filetype: PDF - Registered users only
Size: 567kB
View at publisher

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations