Results and conjectures on the number of standard strong marked tableaux

Susanna Fishel, Matjaž Konvalinka

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Many results involving Schur functions have analogues involving k-Schur functions. Standard strong marked tableaux play a role for k-Schur functions similar to the role standard Young tableaux play for Schur functions. We discuss results and conjectures toward an analogue of the hook-length formula.New tools, residue and quotient tables, are presented, which allow for efficient computation of strong covers and have the potential to describe many other phenomena in k-function theory.

Original languageEnglish (US)
Pages (from-to)153-186
Number of pages34
JournalJournal of Combinatorial Theory. Series A
Volume131
DOIs
StatePublished - Apr 1 2015

    Fingerprint

Keywords

  • Enumeration
  • K-Schur functions
  • Strong marked tableaux

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

Cite this