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arXiv · 2203.08976

Infinite-rank Euclidean Lattices and Loop Groups

Mathieu Dutour·Manish M. Patnaik
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Abstract

In this paper, we associate a family of infinite-rank pro-Euclidean lattices to elements of a formal loop group and a highest weight representation of the underlying affine Kac--Moody algebra. In the case that the element has a polynomial representative, we can prove our lattices are theta-finite in the sense of Bost, allowing us to attach to each of our lattices a well-defined theta-like function.

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BibTeXRIS

Mathieu Dutour, Manish M. Patnaik. 2022-03-16. Infinite-rank Euclidean Lattices and Loop Groups. https://arxiv.org/abs/2203.08976

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