Two Remarks on Skew Tableaux
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...
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| Format: | Article |
| Language: | en_US |
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Electronic Journal of Combinatorics
2014
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| Online Access: | http://hdl.handle.net/1721.1/89811 https://orcid.org/0000-0003-3123-8241 |
| Summary: | 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. |
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