Scott H. Murray

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20002022

most citedInfinite dimensional Chevalley groups and Kac-Moody groups over

Z

3 citations · 10 across the 13 of their papers we have counts for

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5 papers · 1 filter

math.RT2022

Vertex operators for imaginary $gl_{2}$ subalgebras in the Monster Lie Algebra

Darlayne Addabbo, Lisa Carbone, Elizabeth Jurisich +2

The Monster Lie algebra $m$ is a quotient of the physical space of the vertex algebra $V = V^{♮} \otimes V_{1, 1}$ , where $V^{♮}$ is the Moonshine module vertex ope…

math.RT2022

Strong integrality of inversion subgroups of Kac-Moody groups

Abid Ali, Lisa Carbone, Dongwen Liu +1

Let $A$ be a symmetrizable generalized Cartan matrix with corresponding Kac--Moody algebra $g$ over $Q$ . Let $V = V^{λ}$ be an integrable highest weight $g$ -mod…

math.RT2020

Constructing a Lie group analog for the Monster Lie algebra

Lisa Carbone, Elizabeth Jurisich, Scott H. Murray

We describe various approaches to constructing groups which may serve as Lie group analogs for the monster Lie algebra of Borcherds.

math.RT2018

Commutator relations and structure constants for rank 2 Kac--Moody algebras

Lisa Carbone, Matt Kownacki, Scott H. Murray +1

We completely determine the structure constants between real root vectors in a rank 2 Kac--Moody algebra $g$ . Our description is computationally efficient, even in the r…

math.RT2018★ 3 cited

Infinite dimensional Chevalley groups and Kac-Moody groups over $Z$

Lisa Carbone, Dongwen Liu, Scott H. Murray

Let $A$ be a symmetrizable generalized Cartan matrix, which is not of finite or affine type. Let $g$ be the corresponding Kac-Moody algebra over a commutative ring $R$ w…