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Paper IPM / M / 16281 |
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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 4-dimensional vector space while in the latter one, we get a 1-dimensional vector space.
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