On reflections of roots in positive characteristic
Representation Theory
2023-11-07 v1
Abstract
For a Lie superalgebra with Cartan matrix over a field of positive characteristic, some information about its root system in terms of the system of simple roots corresponding to the Chevalley generators is described, under certain given assumptions. This information may be useful for finding other systems of simple roots of such a Lie superalgebra and other Cartan matrices which produce Lie superalgebras isomorphic to a given one.
Keywords
Cite
@article{arxiv.2311.02710,
title = {On reflections of roots in positive characteristic},
author = {Alexey Lebedev},
journal= {arXiv preprint arXiv:2311.02710},
year = {2023}
}