Commutators in the Endomorphism Ring of a Complex
Commutative Algebra
2016-09-08 v3 Rings and Algebras
Abstract
According to an old result of Albert and Muckenhoupt, the commutators in the endomorphism ring of a finite dimensional vector space are precisely the elements of trace zero. We replace the finite dimensional vector space with a complex of finite dimensional vector spaces, and characterize commutators and other elements with commutator-like properties in terms of appropriately defined traces.
Cite
@article{arxiv.1608.01425,
title = {Commutators in the Endomorphism Ring of a Complex},
author = {Steven E. Landsburg},
journal= {arXiv preprint arXiv:1608.01425},
year = {2016}
}