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Paper   IPM / M / 16461
School of Mathematics
  Title:   Affine Lie superalgeras
  Author(s): 
1.  Abbas Darehgazani
2.  Malihe Yousofzadeh (Joint with F. Shirnejad)
  Status:   Published
  Journal: J. Algebra
  Vol.:  570
  Year:  2021
  Pages:   636-677
  Supported by:  IPM
  Abstract:
In 1986, Van de Leur introduced and classified affine Lie superalgebras. An affine Lie superalgebra is defined as the quotient of certain Lie superalgebra >> defined by generators and relations, corresponding to a symmetrizable generalized Cartan matrix, over the so-called radical of >> . Because of the interesting applications of affine Lie (super)algebras in combinatorics, number theory and physics, it is very important to recognize how far a Lie (super)algebra is to be an affine Lie (super)algebra. In this regard, we determine affine Lie superalgebras axiomatically.

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