Weil representations of twisted loop groups of type $A_n^{(2)}$

Abstract

We construct Weil representations of twisted loop groups of type $A_n^{(2)}$ over local fields. We prove that the associated cover of the twisted loop group is the two fold metaplectic cover of the affine Kac-Moody group of type $A_n^{(2)}$ given by Patnaik-Puskas.

23 pages. Submitted

References in corpus (1)

• Metaplectic Covers of Kac-Moody Groups and Whittaker Functions