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The Natural Filtration of the Finite-Dimensional Modular Lie Superalgebras H(n,m)

Author: SongWei
Tutor: ZhangYongZheng
School: Northeast Normal University
Course: Basic mathematics
Keywords: modular Lie superalgebras derivation superalgebras natural filtration
CLC: O152.5
Type: Master's thesis
Year: 2011
Downloads: 9
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Abstract


Supposed F is a field with characteristic p >2. First we define the associative superalgebra U and its partial differential Di . Than we construct a class of finite dimensional modular Lie superalgebras H ( n , m ), its structure as well as its Z-gradation are given. Meanwhile its basic properties are discussed. Taking use of the conclusions of the derivation superalgebra of H ( n, m ), we prove that the natural filtration of H ( n, m )is invariant. Finally get the sufficient and necessary conditions of that H ( n,m)and H ( n’,m’)are isomorphic.

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Group theory > Lie group
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