S. Sierra

Ideals in Enveloping Algebras of Loop Algebras

Let $\mathfrak g$ be a finite-dimensional simple complex Lie algebra, and consider the loop algebra $L\mathfrak g = \mathfrak g[s, s^{-1}]$ and the affine Lie algebra $\widehat{\mathfrak g}$, which is an extension of $L\mathfrak g$ by a central element $c$. It is known that the rings $\operatorname{U}(\widehat{\mathfra...