A non-commutative topology on rep A
Rings and Algebras
2007-05-23 v1 Quantum Algebra
Abstract
We extend the Zariski topology on simp A, the finite dimensional simple A-representations, to a non-commutative topology (in the sense of Fred Van Oystaeyen) on rep A, all finite dimensional A-representations, using Jordan-Holder filtrations. The non-commutativity of the topology is enforced by the order of the composition factors.
Cite
@article{arxiv.math/0307138,
title = {A non-commutative topology on rep A},
author = {Lieven Le Bruyn},
journal= {arXiv preprint arXiv:math/0307138},
year = {2007}
}