{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T07:09:38Z","timestamp":1775632178966,"version":"3.50.1"},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[1991,3]]},"abstract":"<jats:p> This paper is mostly concerned with arbitrary finite monoids M with the complex semigroup algebra [Formula: see text] semisimple. Using the 1942 work of Clifford, we develop for these monoids a theory of cuspidal representations. Harish-Chandra's philosophy of cuspidal representations of finite groups can then be derived with an appropriate specialization. For [Formula: see text], we use Solomon's Hecke algebra to obtain a correspondence between the 'simple' representations of [Formula: see text] and the representations of the symmetric inverse semigroup. We also prove a semisimplicity theorem for a special class of finite monoids of the type which was earlier used by the authors to prove the semisimplicity of [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218196791000031","type":"journal-article","created":{"date-parts":[[2004,11,25]],"date-time":"2004-11-25T07:12:21Z","timestamp":1101366741000},"page":"33-47","source":"Crossref","is-referenced-by-count":5,"title":["PARABOLIC SUBGROUPS AND CUSPIDAL REPRESENTATIONS OF FINITE MONOIDS"],"prefix":"10.1142","volume":"01","author":[{"given":"JAN","family":"OKNI\u0143SKI","sequence":"first","affiliation":[{"name":"Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MOHAN S.","family":"PUTCHA","sequence":"additional","affiliation":[{"name":"Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,1,25]]},"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196791000031","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:36:54Z","timestamp":1565116614000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196791000031"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,3]]},"references-count":0,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2012,1,25]]},"published-print":{"date-parts":[[1991,3]]}},"alternative-id":["10.1142\/S0218196791000031"],"URL":"https:\/\/doi.org\/10.1142\/s0218196791000031","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,3]]}}}