Fischer, Ilse and Saikia, Manjil
2021.
Refined enumeration of symmetry classes of alternating sign matrices.
Journal of Combinatorial Theory, Series A
178
, 105350.
10.1016/j.jcta.2020.105350
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Official URL: http://dx.doi.org/10.1016/j.jcta.2020.105350
Abstract
We prove refined enumeration results on several symmetry classes as well as related classes of alternating sign matrices with respect to classical boundary statistics, using the six-vertex model of statistical physics. More precisely, we study vertically symmetric, vertically and horizontally symmetric, vertically and horizontally perverse, off-diagonally and off-antidiagonally symmetric, vertically and off-diagonally symmetric, quarter turn symmetric as well as quasi quarter turn symmetric alternating sign matrices. Our results prove conjectures of Fischer, Duchon and Robbins.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | Elsevier |
ISSN: | 0097-3165 |
Funders: | Austrian Science Fund FWF |
Date of First Compliant Deposit: | 11 November 2020 |
Date of Acceptance: | 5 October 2020 |
Last Modified: | 24 Nov 2020 18:11 |
URI: | http://orca.cf.ac.uk/id/eprint/136245 |
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