derivations of the graded lie algebras of cartan type
Citation：
Chiu Sen（邱森）.derivations of the graded lie algebras of cartan type[J].Chinese Annals of Mathematics B,1992,13(2):196~204
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Authors：
Chiu Sen（邱森）;
Abstract：
Let F be an algebraically closed field of characteristic p>0,2,$\[L = \mathop \oplus \limits_{i = - r}^s {L_{[i]}}\]$ a graded Lie algebra of Cartan type over F.This paper gives a description of the adjoint module by means of the mixed product and the induced module so that the computation of $H^{i}(L,L)$ can be reduced to that of the cohomology of $L_{[0]}$.Then the structures of the derivation algebras of L is determined.
