English

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

Representation Theory 2022-10-03 v2

Abstract

We construct Weil representations of twisted loop groups of type An(2)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 An(2)A_n^{(2)} given by Patnaik-Puskas.

Keywords

Cite

@article{arxiv.2111.09018,
  title  = {Weil representations of twisted loop groups of type $A_n^{(2)}$},
  author = {Yanze Chen and Yongchang Zhu},
  journal= {arXiv preprint arXiv:2111.09018},
  year   = {2022}
}

Comments

23 pages. Submitted

R2 v1 2026-06-24T07:41:55.377Z