On some factorization formulas of K-k-Schur functions

Research output: Contribution to conferencePaperpeer-review

Abstract

We give some new formulas about factorizations of K-k-Schur functions gλ(k), analogous to the k-rectangle factorization formula sRt∪λ(k)= sRt(k)Sλ(k)of k-Schur functions, where λ is any k-bounded partition and Rt denotes the partition (tk+1-t) called a k-rectangle. Although a formula of the same form does not hold for K-k-Schur functions, we can prove that gRdivides gRt∪λ(k), and in fact more generally that gPdivides gP∪λ(k)for any multiple k-rectangles P and any k-bounded partition λ. We give the factorization formula of such gP(k), the explicit formulas of gP∪λ(k)/gP(k)in some cases.

Original languageEnglish
Publication statusPublished - 2006
Externally publishedYes
Event29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017 - London, United Kingdom
Duration: Jul 9 2017Jul 13 2017

Conference

Conference29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017
Country/TerritoryUnited Kingdom
CityLondon
Period7/9/177/13/17

Keywords

  • Affine Schubert calculus
  • K-k-Schur function
  • K-rectangle factorization

ASJC Scopus subject areas

  • Algebra and Number Theory

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