L. Carbone

collaborators

4 papers

math.RT2026

A Lie group analog for the Monster Lie algebra

Lisa Carbone, Elizabeth Jurisich, Scott H. Murray

The Monster Lie algebra $m$ , which admits an action of the Monster finite simple group $M$ , was introduced by Borcherds as part of his work on the Conway--Norton Mo…

math.RT2026

Prosummability in Kac--Moody groups

Abid Ali, Lisa Carbone, Elizabeth Jurisich +1

Let $g$ be a symmetrizable Kac--Moody algebra. We describe {standard graded} $g$ -modules $V$ , which we use to construct a completion $V$ and pro-uni…

math.RT2025

Growth of root multiplicities along imaginary root strings in Kac--Moody algebras

Lisa Carbone, Terence Coelho, Scott H. Murray +2

Let $g$ be a symmetrizable Kac--Moody algebra. Given a root $I^\pm$ and a real root $I^^{2}$ of $g$ , it is known that the $I^^{2}$ -string through $I^\pm$ , denoted $R_Î±(Î²)…

math.NT2025

Eisenstein series on arithmetic quotients of rank 2 Kac--Moody groups over finite fields

Abid Ali, Lisa Carbone, Paul Garrett

Let $G$ be an affine or hyperbolic rank 2 Kac--Moody group over a finite field $F_{q}$ . Let $X = X_{q + 1}$ be the Tits building of $G$ , the $(q + 1)$ --homogeneous tree, and let $Î…