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arXiv · 2105.11360

Birational Equivalences and Kac-Moody Algebras

Atabey Kaygun
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Abstract

We show that every Kac-Moody algebra is birationally equivalent to a smash biproduct of two copies of a Weyl algebra together with a polynomial algebra. We also show that the same is true for quantized Kac-Moody algebras where one replaces Weyl algebras with their quantum analogues.

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Atabey Kaygun. 2023-04-21. Birational Equivalences and Kac-Moody Algebras. https://arxiv.org/abs/2105.11360

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