Derivations of affine Lie superalgebras

Abstract

In this paper, we determine the derivations of affine Lie superalgebras. As the nature of affine Lie superalgebra of type (Formula presented.) is slightly different from the nature of the other types, we study separately the derivations for type (Formula presented.) and (Formula presented.) We precisely determine derivations up to inner derivations; in the former type, we get a four-dimensional vector space while in the latter one, we get a one-dimensional vector space. © 2020, © 2020 Taylor & Francis Group, LLC.