Evaluating the numbers of some skew standard Young tableaux of truncated shapes
type: Item
instance of: scholarly article
title: Evaluating the numbers of some skew standard Young tableaux of truncated shapes
zbMATH Open document ID: 1305.05231
author: Ping Sun
published in: The Electronic Journal of Combinatorics
publication date: 2015-01-22T00:00:00Z
full work available at URL: v22i1p2
review text: Summary: In this paper the number of standard Young tableaux (SYT) is evaluated by the methods of multiple integrals and combinatorial summations. We obtain the product formulas of the numbers of skew SYT of certain truncated shapes, including the skew SYT \(((n+k)^{r+1},n^{m-1}) / (n-1)^r \) truncated by a rectangle or nearly a rectangle, the skew SYT of truncated shape \(((n+1)^3,n^{m-2}) / (n-2) \backslash (2^2)\), and the SYT of truncated shape \(((n+1)^2,n^{m-2}) \backslash (2)\).
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 05D40
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05E15
zbMATH DE Number: 6389241
zbMATH Keywords: truncated shapes
zbMATH Keywords: standard Young tableaux
zbMATH Keywords: order statistics
zbMATH Keywords: Selberg integral
describes a project that uses: AdinKingRoichman
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6389241