Gabriel B. Legros

collaborators

2 papers

math.RT2026

A proof of Frenkel's bound for the hyperbolic Kac-Moody Lie Algebra A_1^++

Gabriel B. Legros

We give a computer-assisted proof of Frenkel's root-multiplicity bound for the rank-three hyperbolic Kac--Moody Lie algebra $A_{1}^{++}$ . For every root $α$ , we prove $\dim g_α\le p(…

math.RT2021

Three Families of Lie Algebras of Exponential Growth from Vertex Operator Algebras

Gabriel B. Legros

We study three families of infinite-dimensional Lie algebras defined from Vertex Operator Algebras and their properties. For $N = 0$ VOAs, we review the construction of the Fock spac…