Weil representations of twisted loop groups of type $A_n^{(2)}$ (2111.09018v2)

Published 17 Nov 2021 in math.RT

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.

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