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IPM
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“School of Mathematics”

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Paper   IPM / M / 15885
School of Mathematics
  Title:   Extended affine Lie superalgebras containing Cartan subalgebras
  Author(s):  Malihe Yousofzadeh
  Status:   Published
  Journal: J. Algebra
  Vol.:  532
  Year:  2019
  Pages:   61-79
  Supported by:  IPM
  Abstract:
Multiloop (super)algebras are of great importance in the literature. Affine Kac Moody Lie (super)algebras and almost all extended affine Lie algebras are realized using an affinization process on loop superalgebras and multiloop algebras respectively. An affinization process for multiloop superalgebras turns to Lie superalgebras satisfying certain properties which are the super version of extended affine Lie algebras. In this paper we systematically study this super version called extended affine Lie superalgebras. We first derive the intrinsic properties of extended affine Lie superalgebras and then study those which are simple.

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