Refined enumeration of symmetry classes of alternating sign matrices

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 Item availability restricted.

PDF - Accepted Post-Print Version Restricted to Repository staff only until 16 October 2021 due to copyright restrictions. Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (651kB)

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
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

Actions (repository staff only)

Edit Item