Character expansion of Kac-Moody correction factors
Representation Theory
2021-09-22 v3
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.
Keywords
Cite
@article{arxiv.1911.09770,
title = {Character expansion of Kac-Moody correction factors},
author = {Kyu-Hwan Lee and Dongwen Liu and Thomas Oliver},
journal= {arXiv preprint arXiv:1911.09770},
year = {2021}
}
Comments
20 pages, 4 tables