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arXiv · 1911.09770

Character expansion of Kac-Moody correction factors

Kyu-Hwan Lee·Dongwen Liu·Thomas Oliver
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Abstract

A correction factor naturally arises in the theory of p-adic Kac--Moody groups. In this paper, we expand the correction factor into a sum of irreducible characters of the underlying Kac--Moody algebra. We derive a formula for the coefficients, which lie in the ring of power series with integral coefficients. In the case that the Weyl group is a universal Coxeter group, we show that the coefficients are actually polynomials.

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BibTeXRIS

Kyu-Hwan Lee, Dongwen Liu, Thomas Oliver. 2019-11-21. Character expansion of Kac-Moody correction factors. https://doi.org/10.2140/pjm.2021.313.159

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