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Paper   IPM / M / 16281
School of Mathematics
  Title:   Derivations of affine Lie superalgebras
  Author(s):  Malihe Yousofzadeh (Joint with A. Darehgazani)
  Status:   Published
  Journal: Comm. Algebra
  Year:  2020
  Pages:   DOI: 10.1080/00927872.2020.1743301
  Supported by:  IPM
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 XA(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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