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Characteristic p = 3 Lie algebra generators and derivation algebras

Author: BanXiaoLing
Tutor: ZhangYongZheng
School: Northeast Normal University
Course: Basic mathematics
Keywords: Cartan type single Lie algebra Generator of The derivation algebras
CLC: O152.5
Type: Master's thesis
Year: 2003
Downloads: 33
Quote: 1
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Abstract


Let F p = domain , this paper determines F on a finite-dimensional Cartan type Lie superalgebra W -type , H-type , S-type , K-type and HO - generator of their derivation algebra and its dimension . The main results are as follows : ( 1 ) Let K (m, n, t) is generated by the TS . (2) If, then . If, then. K die Lie Algebras algebra dimension . (3) HO by Γ and X are generated. Wherein the subset of the HO . ( 4 ) Order , then . Derivation algebras of Lie superalgebras HO die dimension . ( 5 ) Let the H generated by the set B . ( 6) the algebra H die Lie Algebras dimension . (7 ) Let G_s derivation algebras of Lie superalgebras S F . CbarF = 3. Is the dimension . ( 8 ) Let G_ω F on the derivation algebras of Lie superalgebras W . CharF = 3. You . G_ω the dimension .

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