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Realizations And Properties Of Some Leibniz Algebras

Posted on:2010-03-04Degree:MasterType:Thesis
Country:ChinaCandidate:Q F HuFull Text:PDF
GTID:2120360275993344Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this article we discuss Leibniz algebra expansions from low dimensional solvable Leibniz algebras (?) to high dimensional solvable Leibniz algebras (?), such as two-dimensional, three-dimensional solvable Leibniz algebras, four-dimensional nilpotent Leibniz algebras, and two types of unique n-dimensional solvable Leibniz algebras and so on. We also discuss Liezation of the four-dimensional nilpotent Leibniz algebras, properties of the two n-dimensional solvable Leibniz algebras, and the relationship between (?) and (?).
Keywords/Search Tags:Leibniz algebra, expansion, derivation algebras, group of automorphisms
PDF Full Text Request
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