Abid Ali

collaborators

3 papers

math.RT2026

Wide Regular Subalgebras of Symmetrizable Kac-Moody Algebras and an Extension of Schur's Lemma

Andrew Douglas, Abid Ali

The behavior of representations under restriction is a central theme in Lie theory. We study wide regular subalgebras of symmetrizable Kac-Moody algebras, extending work of Douglas…

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.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…