English

Birational Equivalences and Kac-Moody Algebras

Quantum Algebra 2023-04-24 v3

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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Cite

@article{arxiv.2105.11360,
  title  = {Birational Equivalences and Kac-Moody Algebras},
  author = {Atabey Kaygun},
  journal= {arXiv preprint arXiv:2105.11360},
  year   = {2023}
}

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9 pages