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arXiv · 2510.21741

Virasoro algebra and Sugawara constructions formally in Lean

Kalle Kytölä
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Abstract

We formalize in Lean certain calculational proofs about infinite-dimensional Lie algebras. Specifically, we construct the Virasoro algebra as a central extension of the Witt algebra associated with a nontrivial 2-cocycle, and we construct representations of the Virasoro algebra by Sugawara constructions.

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Kalle Kytölä. 2025-10-06. Virasoro algebra and Sugawara constructions formally in Lean. https://arxiv.org/abs/2510.21741

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