Abid Ali

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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.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…

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

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