{ "id": "1607.00426", "version": "v1", "published": "2016-07-01T22:31:56.000Z", "updated": "2016-07-01T22:31:56.000Z", "title": "On the quiver and Koszulity of the category of injections between finite sets", "authors": [ "Brendan Dubsky" ], "comment": "19 pages", "categories": [ "math.RT" ], "abstract": "We describe the Gabriel quiver with defining relations of the category of injections between finite sets, show that it is quadratic self-dual, and construct linear resolutions for its simple modules.", "revisions": [ { "version": "v1", "updated": "2016-07-01T22:31:56.000Z" } ], "analyses": { "subjects": [ "16S37" ], "keywords": [ "finite sets", "injections", "construct linear resolutions", "quadratic self-dual", "simple modules" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }