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Superderivations for a Family of Lie Superalgebras of Special Type
Authors:SUN XIU-MEI  ZOU XU-JUAN  LIU WEN-DE
Affiliation:School of Mathematical Sciences,Harbin Normal University,Harbin,150025
Abstract:By means of generators,superderivations are completely determined for a family of Lie superalgebras of special type,the tensor products of the exterior algebras and the finite-dimensional special Lie algebras over a field of characteristic p>3.In particular, the structure of the outer superderivation algebra is concretely formulated and the dimension of the first cohomology group is given.
Keywords:divided power algebra  special algebra  superderivation
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