On the mod p reduction of orthogonal representations
Group Theory
2018-08-09 v3 Representation Theory
Abstract
We show that the reduction mod p of an orthogonal linear representation is orthogonal, and we generalize this fact to representations of algebras with involution.The proofs make an essential use of the notion of " middle lattices ".
Keywords
Cite
@article{arxiv.1708.00046,
title = {On the mod p reduction of orthogonal representations},
author = {Jean-Pierre Serre},
journal= {arXiv preprint arXiv:1708.00046},
year = {2018}
}
Comments
paper dedicated to the memory of B. Kostant; second version : misprints corrected; different proof of th.4.2.1; added reference to a paper of Thompson