Character expansion of Kac-Moody correction factors

Kyu-Hwan Lee, Dongwen Liu, Thomas Oliver

Research output: Contribution to journalArticlepeer-review


A correction factor naturally arises in the theory of p-adic Kac–Moody groups. 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.
Original languageEnglish
Pages (from-to)159-183
Number of pages24
JournalPacific Journal of Mathematics
Issue number1
Publication statusPublished - 1 Jan 2021


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