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IPM
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“School of Mathematics”

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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
  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 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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