Homogeneous algebras
Quantum Algebra
2016-09-07 v1 High Energy Physics - Theory
Mathematical Physics
K-Theory and Homology
math.MP
Rings and Algebras
Abstract
Various concepts associated with quadratic algebras admit natural generalizations when the quadratic algebras are replaced by graded algebras which are finitely generated in degree 1 with homogeneous relations of degree N. Such algebras are referred to as {\sl homogeneous algebras of degree N}. In particular it is shown that the Koszul complexes of quadratic algebras generalize as N-complexes for homogeneous algebras of degree N.
Cite
@article{arxiv.math/0203035,
title = {Homogeneous algebras},
author = {Roland Berger and Michel Dubois-Violette and Marc Wambst},
journal= {arXiv preprint arXiv:math/0203035},
year = {2016}
}
Comments
24 pages