U-Turn Alternating Sign Matrices, Symplectic Shifted Tableaux and their Weighted Enumeration

被引：0
作者：
A. M. Hamel
R. C. King
机构：
[1] Wilfrid Laurier University,Department of Physics and Computer Science
[2] University of Southampton,School of Mathematics
来源：
Journal of Algebraic Combinatorics | 2005年 / 21卷
关键词：
alternating sign matrices; symplectic tableaux;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Alternating sign matrices with a U-turn boundary (UASMs) are a recent generalization of ordinary alternating sign matrices. Here we show that variations of these matrices are in bijective correspondence with certain symplectic shifted tableaux that were recently introduced in the context of a symplectic version of Tokuyama’s deformation of Weyl’s denominator formula. This bijection yields a formula for the weighted enumeration of UASMs. In this connection use is made of the link between UASMs and certain square ice configuration matrices.
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页码：395 / 421
页数：26
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