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Cuspidal modules of the Lie superalgebras osp(1/2n)

Posted on:2011-04-19Degree:M.SType:Thesis
University:The University of Texas at ArlingtonCandidate:Malcom, Alekzander Jay HowardFull Text:PDF
GTID:2440390002457625Subject:Mathematics
Abstract/Summary:
The classification of all bounded weight modules for the classical Lie superalgebras is an open question. Only recently, in fact, has the question been closed for the Lie algebras [Mat00]. We give a differential algebra isomorphic to osp (1|2n), which is one of the remaining Lie superalgebras to have its modules classified. We also conjecture, following [BLL06], a method to finalize the classification for osp (1|2n).
Keywords/Search Tags:Lie superalgebras, Modules, Osp
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