{ "id": "2304.10184", "version": "v1", "published": "2023-04-20T09:48:45.000Z", "updated": "2023-04-20T09:48:45.000Z", "title": "Representation type of level 1 KLR algebras in type $C$", "authors": [ "Christopher Chung", "Berta Hudak" ], "comment": "22 pages", "categories": [ "math.RT", "math.QA", "math.RA" ], "abstract": "We determine the representation type for block algebras of the quiver Hecke algebras $R^{\\Lambda_k}(\\beta)$ of type $C^{(1)}_\\ell$ for all $k$, generalising results of Ariki and Park for $\\Lambda = \\Lambda_0$.", "revisions": [ { "version": "v1", "updated": "2023-04-20T09:48:45.000Z" } ], "analyses": { "subjects": [ "05E10", "20C08", "81R10" ], "keywords": [ "representation type", "klr algebras", "quiver hecke algebras", "block algebras" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }