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arXiv · 2310.16381

Simple modules for untwisted affine Lie algebras induced from nilpotent loop subalgebras

Volodymyr Mazorchuk
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Abstract

We construct large families of simple modules for untwisted affine Lie algebras using induction from one-dimensional modules over nilpotent loop subalgebras. We also show that the vector space of the first self-extensions for these module has uncountable dimension and that generic tensor products of these modules are simple.

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Volodymyr Mazorchuk. 2023-10-25. Simple modules for untwisted affine Lie algebras induced from nilpotent loop subalgebras. https://arxiv.org/abs/2310.16381

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