Virtual representation motives
Representation Theory
2019-04-30 v1 Rings and Algebras
Abstract
Principal -bundles (aka vector bundles) are locally trivial in the Zariski topology, whereas principal -bundles (aka Azumaya algebras) are not, to the delight of every non-commutative algebraist. Still, this makes the calculation of motives of representation schemes of algebras next to impossible. In very special cases, Brauer-Severi schemes (and their motives) can be used to tackle this problem inductively. We illustrate this in the case of certain superpotential algebras.
Cite
@article{arxiv.1904.12536,
title = {Virtual representation motives},
author = {Lieven Le Bruyn},
journal= {arXiv preprint arXiv:1904.12536},
year = {2019}
}