{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T10:49:43Z","timestamp":1758278983573},"reference-count":22,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2014,8]]},"abstract":"<jats:p> Let C be a one- or two-sided Kazhdan\u2013Lusztig cell in a Coxeter group (W, S), and let Red (C) be the set of reduced expressions of all w \u2208 C, regarded as a language over the alphabet S. Casselman has conjectured that Red (C) is regular. In this paper, we give a conjectural description of the cells when W is the group corresponding to a hyperbolic polygon, and show that our conjectures imply Casselman's. <\/jats:p>","DOI":"10.1142\/s0218196714500325","type":"journal-article","created":{"date-parts":[[2014,7,11]],"date-time":"2014-07-11T06:19:31Z","timestamp":1405059571000},"page":"757-772","source":"Crossref","is-referenced-by-count":2,"title":["Kazhdan\u2013Lusztig cells in planar hyperbolic Coxeter groups and automata"],"prefix":"10.1142","volume":"24","author":[{"given":"Mikhail V.","family":"Belolipetsky","sequence":"first","affiliation":[{"name":"IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Paul E.","family":"Gunnells","sequence":"additional","affiliation":[{"name":"University of Massachusetts Amherst, Amherst, MA 01003, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Richard A.","family":"Scott","sequence":"additional","affiliation":[{"name":"Santa Clara University, Santa Clara, CA 95053, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,9,3]]},"reference":[{"key":"rf1","volume-title":"The Design and Analysis of Computer Algorithms","author":"Aho A. 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