科研之友
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摘要
Suppose the underlying field is of characteristic p > 3. In this paper, we prove that the automorphisms of the finite-dimensional graded (non-restircited) Lie superalgebras of Cartan-type W, S, H and K can uniquely extend to the ones of the infinite-dimensional Lie superalgebra of Cartan-type W. Then a concrete group embedding from AutX into AutO is established, where X is any finite-dimensional Lie superalgebra of Cartan-type W, S, H or K, and O is the underlying (associative) superalgebra of W. The normal series of the automorphism groups of X are also considered.
