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Paper IPM / M / 16281  


Abstract:  
In this paper, we determine derivations of affine Lie superalgebras. As the nature of affine Lie superalgebra of type A(l,l)^{(1)} is slightly different from the nature of the other types; we study separately the derivations for type X = A(l,l)^{(1)} and X ≠ A(l,l)^{(1)}. We precisely determine derivations up to inner derivations; in the former type, we get a 4dimensional vector space while in the latter one, we get a 1dimensional vector space.
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