Irreducible representations of solvable Lie superalgebras

Details Irreducible representations of solvable Lie superalgebras Irreducible representations of solvable Lie superalgebras

1998-10-17

arxiv.org/abs/math/9810109v1

Mathematics

Representation Theory

7 p., LaTeX

Scientific paper

The description of irreducible finite dimensional representations of finite dimensional solvable Lie superalgebras over complex numbers given by V.~Kac is refined. In reality these representations are not just induced from a polarization but twisted, as infinite dimensional representations of solvable Lie algebras. Various cases of irreducibility (general and of type Q) are classified.

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