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The Filtration Of Modular Lie Superalgebras K( M,n,l,t)

Posted on:2012-02-17Degree:MasterType:Thesis
Country:ChinaCandidate:A Y LiuFull Text:PDF
GTID:2210330368996350Subject:Basic mathematics
Abstract/Summary:
Let F be a field of characteristic p > 2 . In this paper, the modular Liesuperalgebras K(m, n,l,(?)) is constructed. Its some important properties are given.By investigating dimensions of images of some elements of K(m, n,l,(?)) , weprove that the noncontractible filtration of K(m, n,l,(?)) is invariant. Furthermore,the sufficient and necessary condition that K(m, n,l,(?)) and K(m′,n′,l′,(?)′) areisomorphic is given.
Keywords/Search Tags:truncation polynomial algebra, modular Lie superalgebras, noncontractible filtration
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