Irreducible representations of solvable Lie superalgebras

Alexander Sergeev

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Irreducible representations of solvable Lie superalgebras

Alexander Sergeev

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Abstract

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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Alexander Sergeev. 1998-10-17. Irreducible representations of solvable Lie superalgebras. https://arxiv.org/abs/math/9810109

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