U-turn alternating sign matrices, symplectic shifted tableaux and their weighted enumeration
Hamel, A.M. and King, R.C. (2005) U-turn alternating sign matrices, symplectic shifted tableaux and their weighted enumeration. Journal of Algebraic Combinatorics, 21, (4), 395-421. (doi:10.1007/s10801-005-3019-8)
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Official URL: http://dx.doi.org/10.1007/s10801-005-3019-8
Description/Abstract
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.
| Item Type: | Article |
|---|---|
| ISSN: | 0925-9899 (print) |
| Uncontrolled Keywords: | alternating sign matrices, symplectic tableaux |
| Related URLs: | http://dx.doi.org/10.1007/s108...005-3019-8 |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics |
| ePrint ID: | 50558 |
| Deposited On: | 03 Mar 2008 |
| Last Modified: | 01 Jun 2011 07:57 |
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