@inproceedings{db20178f106049a7bf8cb563a5aca57b,
title = "Efficient finite permutation groups and homomesy computation in common lisp",
abstract = "The study of permutations is of central importance to mathematics. Computation with permutation groups has typically been limited to systems such as GAP and Magma. In this paper we describe cl-permutation, a system for doing computations with permutation groups in ANSI Common Lisp. Homomesies, a recent concept introduced by Propp and Roby, are elaborated upon from a group-theoretic and linear-algebraic perspective. As a result, algorithms for manipulating them and better understanding their structure are presented. Finally, these algorithms are realized using cl-permutation.",
keywords = "Common Lisp, computer algebra, group theory, homomesy, permutation, permutation group",
author = "Robert Smith and Brendan Pawlowski",
note = "Copyright: Copyright 2014 Elsevier B.V., All rights reserved.; 8th International Lisp Conference, ILC 2014 ; Conference date: 14-08-2014 Through 17-08-2014",
year = "2014",
doi = "10.1145/2635648.2635664",
language = "English (US)",
isbn = "9781450329316",
series = "ACM International Conference Proceeding Series",
publisher = "Association for Computing Machinery",
pages = "60--68",
booktitle = "Proceedings of ILC 2014 - 8th International Lisp Conference",
}