Sam Jeralds

collaborators

2 papers

math.RA2021

Toward a Jacobson--Morozov theorem for Kac--Moody Lie algebras

Sam Jeralds

For a finite-dimensional semisimple Lie algebra $g$ , the Jacobson--Morozov theorem gives a construction of subalgebras $sl_{2} \subset g$ correspondi…

math.RT2021

Root components for tensor product of affine Kac-Moody Lie algebra modules

Samuel Jeralds, Shrawan Kumar

Let g be an affine Kac-Moody Lie algebra and let $λ, μ$ be two dominant integral weights for g. We prove that under some mild restriction, for any positive root $β$ , $V(λ)\otimes V…