English

Metaplectic Tori over Local Fields

Representation Theory 2008-03-13 v2 Number Theory

Abstract

Smooth irreducible representations of tori over local fields have been parameterized by Langlands, using class field theory and Galois cohomology. This paper extends this parameterization to central extensions of such tori, which arise naturally in the setting of nonlinear covers of reductive groups.

Keywords

Cite

@article{arxiv.0802.4086,
  title  = {Metaplectic Tori over Local Fields},
  author = {Martin H. Weissman},
  journal= {arXiv preprint arXiv:0802.4086},
  year   = {2008}
}

Comments

v2. An error corrected in the final section. Introduction updated. A few other minor edits

R2 v1 2026-06-21T10:16:34.081Z