摘要
Let F be an algebraically closed field of characteristic p】0, 2, a graded Lie aigebra 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. Then the structures of the derivation algebras of L is determined.
Let F be an algebraically closed field of characteristic p>0, 2, L = +i=-r(s) L[4] 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.
基金
Projects supported by National Natural Science Foundation of China.
