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arXiv · 2202.00656

Quasi-integrable modules, a class of non-highest weight modules over twisted affine Lie superalgebras

Malihe Yousofzadeh
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Abstract

In this paper, we characterize quasi-integrable modules, of nonzero level, over twisted affine Lie superalgebras. We show that quasi-integrable modules are not necessarily highest weight modules. We prove that each quasi-integrable module is parabolically induced from a cuspidal module, over a finite dimensional Lie superalgebra having a Cartan subalgebra whose corresponding root system just contain real roots; in particular, the classification of quasi-integrable modules is reduced to the known classification of cuspidal modules over such Lie superalgebras.

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Malihe Yousofzadeh. 2022-02-01. Quasi-integrable modules, a class of non-highest weight modules over twisted affine Lie superalgebras. https://arxiv.org/abs/2202.00656

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