Results and conjectures on the number of standard strong marked tableaux

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:131

Article

Fishel, Susanna¹  Konvalinka, Matjaz² 

[1] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 85745 USA

[2] Univ Ljubljana, Dept Math, Ljubljana 61000, Slovenia

关键词: k-Schur functions;    Strong marked tableaux;    Enumeration;   

DOI  :  10.1016/j.jcta.2014.11.011

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free