Cyclotomic root systems and bad primes
Representation Theory
2017-04-17 v2 Group Theory
Abstract
We generalize the definition and properties of root systems to complex reflection groups - roots become rank one projective modules over the ring of integers of a number field k. In the irreducible case, we provide a classification of root systems over the field of definition k of the reflection representation. In the case of spetsial reflection groups, we generalize as well the definition and properties of bad primes.
Keywords
Cite
@article{arxiv.1704.03779,
title = {Cyclotomic root systems and bad primes},
author = {Michel Broué and Ruth Corran and Jean Michel},
journal= {arXiv preprint arXiv:1704.03779},
year = {2017}
}