Communications in Mathematical Physics

, Volume 154, Issue 3, pp 555–568 | Cite as

Representations of central extensions of differentiably simple lie superalgebras

  • Shun-Jen Cheng


LetS be a simple Lie algebra of characteristic 0 and Λ(n) be the Grassmann superalgebra inn indeterminates. We can form the Lie superalgebraS ⊗ Λ(n). The purpose of this paper is to classify all finite dimensional irreducible representations of all central extensions ofS ⊗ Λ(n). We will also give a character formula for these representations.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Irreducible Representation 
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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Shun-Jen Cheng
    • 1
  1. 1.Department of MathematicsHarvard UniversityCambridgeU.S.A.

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