Non-highest weight representations of the current algebra $\hat{so}(1,n)$, and Laplace Operators

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55994We constructed canonical non-highest weight unitary irreducible representation of $\hat{so}(1,n)$ current algebra as well as canonical non-highest weight non-unitary representations, We constructed certain Laplacian operators as elements of the universal enveloping algebra, acting in representation space. We speculated about a possible relation of those Laplacians with the loop operator for the Yang-Mills.Replaced by revised versionHigh Energy Physics - TheoryNon-highest weight representations of the current algebra $\hat{so}(1,n)$, and Laplace Operatorstext