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Automorphisms Of The Nilpotent Subalgebra Generated By Positive Root Vectors Of The Chevalley Algebra Of Type C4 Over Communicative Rings Of Characteristic 2

Posted on:2007-02-04Degree:MasterType:Thesis
Country:ChinaCandidate:Y F LvFull Text:PDF
GTID:2120360185980911Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let R be a communicative ring of characteristic 2 and 1 is the identity of R. Let N be the nilpotent subalgebra generated by positive root vectors of the chevaliey algebra of type C4 over R. In this paper, we determine the automorphism group of N. We prove that any automorphism φ of N can be expressed as φ= ξb1,b2·νa·μb·σ·ωd1,d2·dx·η where ξb1,b2 ,σ,η,dx are extremal, inner, central and diagonal automorphisms, respectively, of N, and va, μb, ωd1,d2 are exceptional automorphisms.
Keywords/Search Tags:Chevaliey algebra, Automorphism, Nilpotent Lie algebra, communicative ring of characteristic 2
PDF Full Text Request
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