Generic Irreducible Representations of Finite-Dimensional Lie Superalgebras

  title={Generic Irreducible Representations of Finite-Dimensional Lie Superalgebras},
  author={Ivan Penkov and Vera Serganova},
A theory of highest weight modules over an arbitrary finite-dimensional Lie superalgebra is constructed. A necessary and sufficient condition for the finite-dimensionality of such modules is proved. Generic finite-dimensional irreducible representations are defined and an explicit character formula for such representations is written down. It is conjectured that this formula applies to any generic finite-dimensional irreducible module over any finite-dimensional Lie superalgebra. The conjecture… CONTINUE READING


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