S. H. Murray

activity

20232026

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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.RT2024

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 $α$ and a real root $β$ of $g$ , it is known that the $β$ -string through $α$ , denoted $R_{α} (β)$ , is…

Chevalley groups over Z: A representation-theoretic approach

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

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