Two Remarks on Skew Tableaux

• Main Author: Stanley, Richard P. (Contributor)
• Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
• Format: Article
• Language: English
• Published: Electronic Journal of Combinatorics, 2014-09-18T17:05:11Z.
• Subjects: Article
• Online Access: Get fulltext

This paper contains two results on the number f[superscript σ/τ] of standard skew Young tableaux of shape σ/τ. The first concerns generating functions for certain classes of "periodic" shapes related to work of Gessel-Viennot and Baryshnikov-Romik. The second result gives an evaluation of the skew Schur function s[subscript λ/μ](x) at x = (1,1/2[superscript 2k],1/3[superscript 2k],...) for k = 1,2,3 in terms of f[superscript σ/τ] for a certain skew shape σ/τ depending on λ/μ.
National Science Foundation (U.S.) (Grant 0604423)