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Quasi-symmetric functions as polynomial functions on Young diagrams.
- Source :
- Journal of Algebraic Combinatorics; May2015, Vol. 41 Issue 3, p669-706, 38p
- Publication Year :
- 2015
-
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 FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09259899
- Volume :
- 41
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Algebraic Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 101854015
- Full Text :
- https://doi.org/10.1007/s10801-014-0549-y