English

The Galois action on character tables

Group Theory 2007-10-09 v1 Representation Theory

Abstract

A geometric interpretation and generalisation for the Galois action on finite group character tables is sketched. The generalisation is a Galois action on the space Map_G(G^n,\bar{Q})/S_n for each finite G, where G acts by simultaneous conjugation on the n-tuples G^n and the symmetric group S_n permutes the components.

Keywords

Cite

@article{arxiv.0710.1328,
  title  = {The Galois action on character tables},
  author = {T. Gannon},
  journal= {arXiv preprint arXiv:0710.1328},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-06-21T09:27:41.172Z