{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T23:40:04Z","timestamp":1723246804420},"reference-count":16,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","funder":[{"name":"NSF RTG","award":["DMS-1745638"],"award-info":[{"award-number":["DMS-1745638"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2020,11]]},"abstract":"<jats:p>This paper gives a general algorithm for computing the character table of any Renner monoid Hecke algebra, by adapting and generalizing techniques of Solomon used to study the rook monoid. The character table of the Hecke algebra of the rook monoid (i.e. the Cartan type [Formula: see text] Renner monoid) was computed earlier by Dieng et al. [2], using different methods. Our approach uses analogues of so-called A- and B-matrices of Solomon. In addition to the algorithm, we give explicit combinatorial formulas for the A- and B-matrices in Cartan type [Formula: see text] and use them to obtain an explicit description of the character table for the type [Formula: see text] Renner monoid Hecke algebra.<\/jats:p>","DOI":"10.1142\/s0218196720500514","type":"journal-article","created":{"date-parts":[[2020,7,11]],"date-time":"2020-07-11T15:31:03Z","timestamp":1594481463000},"page":"1505-1535","source":"Crossref","is-referenced-by-count":0,"title":["Characters of Renner monoids and their Hecke algebras"],"prefix":"10.1142","volume":"30","author":[{"given":"Andrew","family":"Hardt","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA"}]},{"given":"Jared","family":"Marx-Kuo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Stanford University, Stanford, CA 94305, USA"}]},{"given":"Vaughan","family":"McDonald","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Harvard University, Cambridge, MA 02138, USA"}]},{"given":"John M.","family":"O\u2019Brien","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA"}]},{"given":"Alexander","family":"Vetter","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104, USA"}]}],"member":"219","published-online":{"date-parts":[[2020,8,28]]},"reference":[{"key":"S0218196720500514BIB002","doi-asserted-by":"publisher","DOI":"10.1023\/A:1022939912459"},{"key":"S0218196720500514BIB003","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198502500.001.0001","volume-title":"Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras, London Mathematical Society Monographs","volume":"21","author":"Geck M.","year":"2000"},{"key":"S0218196720500514BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2011.06.023"},{"key":"S0218196720500514BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2003.11.002"},{"key":"S0218196720500514BIB006","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196708004640"},{"key":"S0218196720500514BIB007","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196709005147"},{"key":"S0218196720500514BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-0938-4_7"},{"key":"S0218196720500514BIB010","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100031947"},{"key":"S0218196720500514BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/s11537-019-1650-8"},{"key":"S0218196720500514BIB012","doi-asserted-by":"publisher","DOI":"10.1142\/3767"},{"key":"S0218196720500514BIB013","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1993-1127157-2"},{"key":"S0218196720500514BIB015","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1999.8178"},{"key":"S0218196720500514BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/BF00181463"},{"key":"S0218196720500514BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-0149-3_10"},{"key":"S0218196720500514BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-8693(02)00004-2"},{"key":"S0218196720500514BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2007.12.001"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196720500514","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T22:45:00Z","timestamp":1723243500000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196720500514"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,28]]},"references-count":16,"journal-issue":{"issue":"07","published-print":{"date-parts":[[2020,11]]}},"alternative-id":["10.1142\/S0218196720500514"],"URL":"https:\/\/doi.org\/10.1142\/s0218196720500514","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"type":"print","value":"0218-1967"},{"type":"electronic","value":"1793-6500"}],"subject":[],"published":{"date-parts":[[2020,8,28]]}}}