Spinoriality of orthogonal representations of reductive groups
Representation Theory
2020-12-03 v3
Abstract
Let G be a connected reductive group over a field of characteristic zero, and consider an orthogonal representation of G. We give a simple criterion for whether the representation lifts to the spin group, in terms of the highest weights of the irreducible constituents of the representation.
Keywords
Cite
@article{arxiv.1901.06232,
title = {Spinoriality of orthogonal representations of reductive groups},
author = {Rohit Joshi and Steven Spallone},
journal= {arXiv preprint arXiv:1901.06232},
year = {2020}
}