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IPM
30
YEARS OLD

“School of Mathematics”

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Paper   IPM / M / 16030
School of Mathematics
  Title:   Universal central extensions of current Lie superalgebras
  Author(s):  Malihe Yousofzadeh (Joint with K.-H. Neeb)
  Status:   Publishied
  Journal: J. Pure Appl. Algebra
  Vol.:  224
  Year:  2020
  Pages:   106205
  Supported by:  IPM
  Abstract:
We identify the universal central extension of \frakg = \frakA ⊗\frakg, where \frakg is a finite dimensional perfect Lie superalgebra equipped with a nondegenerate homogeneous invariant supersymmetric bilinear form κ which is invariant under all derivations and \frakA is a unital supercommutative associative (super)algebra.

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