Character expansion of Kac-Moody correction factors
arXiv:1911.09770 · doi:10.2140/pjm.2021.313.159
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.
20 pages, 4 tables