English

Canonical $\beta$-extensions

Representation Theory 2021-11-29 v2 Number Theory

Abstract

We compare the level zero part of the type of a representation of GL(n) over a non-archimedean local field with the tame part of its Langlands parameter restricted to inertia. By normalizing this comparison, we construct canonical β\beta-extensions of maximal simple characters.

Keywords

Cite

@article{arxiv.1802.06909,
  title  = {Canonical $\beta$-extensions},
  author = {Andrea Dotto},
  journal= {arXiv preprint arXiv:1802.06909},
  year   = {2021}
}

Comments

v2: major expository changes, main result essentially unchanged, submitted version

R2 v1 2026-06-23T00:27:05.709Z