A Construction of Representations of Loop Group and Affine Lie Algebra of ${\mathfrak{sl}}_n$

Abstract

In this paper, we construct a representation of loop group and derive the formula of the corresponding representation of the affine Kac-Moody algebra with level 1. And we also provide a concrete realization of Whittaker functionals in the dual representation.

20 pages. Comments are welcome!

References in corpus (1)

• Whittaker modules for the affine Lie algebra $A_1^{(1)}$