{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:27:52Z","timestamp":1760149672195,"version":"build-2065373602"},"reference-count":39,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2023,9,7]],"date-time":"2023-09-07T00:00:00Z","timestamp":1694044800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this article, we study the representation of generalized loop planar Galilean conformal algebra W(\u0393); we will determine the Harish-Chandra modules, Verma modules, Whittaker modules, and U(h)-free modules of W(\u0393).<\/jats:p>","DOI":"10.3390\/axioms12090863","type":"journal-article","created":{"date-parts":[[2023,9,7]],"date-time":"2023-09-07T10:11:07Z","timestamp":1694081467000},"page":"863","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Representations of Generalized Loop Planar Galilean Conformal Algebras W(\u0393)"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0230-684X","authenticated-orcid":false,"given":"Yu","family":"Yang","sequence":"first","affiliation":[{"name":"School of Electronics and Information Engineering, Taizhou University, Taizhou 318000, China"},{"name":"School of Mathematics, Harbin Institute of Technology, Harbin 150001, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7968-7188","authenticated-orcid":false,"given":"Xingtao","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics, Harbin Institute of Technology, Harbin 150001, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,9,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1088\/1126-6708\/2009\/07\/037","article-title":"Galilean conformal algebras and AdS\/CFT","volume":"7","author":"Bagchi","year":"2009","journal-title":"J. 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