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 be a symmetrizable Kac--Moody algebra. We describe {standard graded} -modules , which we use to construct a completion and pro-uni…
math.RT2024
Chevalley groups over : A representation-theoretic approach
Abid Ali, Lisa Carbone, Scott H. Murray
Let be a simply connected Chevalley group over corresponding to a simple Lie algebra over . Let be a finite dimensional f…