{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T13:21:43Z","timestamp":1762262503231,"version":"build-2065373602"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Port. Math."],"published-print":{"date-parts":[[2015,10,29]]},"abstract":"<jats:p>We construct a family of irreducible representations of the quantum plane and of the quantum Weyl algebra over an arbitrary field, assuming the deformation parameter is not a root of unity. We determine when two representations in this family are isomorphic, and when they are weight representations, in the sense of [1].<\/jats:p>","DOI":"10.4171\/pm\/1973","type":"journal-article","created":{"date-parts":[[2015,10,29]],"date-time":"2015-10-29T07:10:31Z","timestamp":1446102631000},"page":"407-419","source":"Crossref","is-referenced-by-count":0,"title":["A multiparameter family of irreducible representations of the quantum plane and of the quantum Weyl algebra"],"prefix":"10.4171","volume":"72","author":[{"given":"Samuel A.","family":"Lopes","sequence":"first","affiliation":[{"name":"Universidade do Porto, Portugal"}]},{"given":"Jo\u00e3o N.P.","family":"Louren\u00e7o","sequence":"additional","affiliation":[{"name":"Universidade do Porto, Portugal"}]}],"member":"2673","container-title":["Portugaliae Mathematica"],"original-title":[],"link":[{"URL":"http:\/\/www.ems-ph.org\/fulltext\/10.4171\/PM\/1973","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T13:12:37Z","timestamp":1762261957000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/pm\/1973"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,29]]},"references-count":0,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.4171\/pm\/1973","relation":{},"ISSN":["0032-5155","1662-2758"],"issn-type":[{"type":"print","value":"0032-5155"},{"type":"electronic","value":"1662-2758"}],"subject":[],"published":{"date-parts":[[2015,10,29]]}}}