Abid Ali

activity

20212026

collaborators

4 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 Dougla…

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.RT2024

Chevalley groups over $Z$ : A representation-theoretic approach

Abid Ali, Lisa Carbone, Scott H. Murray

Let $G (Q)$ be a simply connected Chevalley group over $Q$ corresponding to a simple Lie algebra $g$ over $C$ . Let $V$ be a finite dimensional f…

math.NT2021

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 $Γ…

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

Prosummability in Kac--Moody groups

Chevalley groups over Z: A representation-theoretic approach

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

Chevalley groups over $Z$ : A representation-theoretic approach