$\Theta$-Type Derivation and Derivation Superalgebra of the Finite-Dimensional Modular Lie Superalgebra $W(m,n,l,\underline{t})$
Received:March 21, 2006  Revised:July 13, 2007
Key Words: modular Lie superalgebra   generator   derivation.  
Fund Project:the National Natural Science Foundation of China (No.10271076); the Educational Commission of Heilongjiang Province (No.11523065); the Science Foundation for the Youth of Harbin College (No.HXKQ200704).
Author NameAffiliation
FANG Xiao Chao Department of Mathematics, Harbin College, Heilongjiang 150080, China 
ZHANG Yong Zheng Department of Mathematics, Northeast Normal University, Jilin 130024, China 
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Abstract:
      In this paper $F$ always denotes a field of characteristic $p >2$. We construct the finite-dimensional modular Lie superalgebra $W(m,n,l,\underline{t})$ over a field $F$, define $\Theta$-type derivation and determine the derivation superalgebra of $W(m,n,l,\underline{t})$.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.02.008
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