Graded commutative algebras: examples, classification, open problems
Mathematical Physics
2009-12-08 v1 Commutative Algebra
math.MP
Quantum Algebra
Abstract
We consider -graded commutative algebras, where is an abelian group. Starting from a remarkable example of the classical algebra of quaternions and, more generally, an arbitrary Clifford algebra, we develop a general viewpoint on the subject. We then give a recent classification result and formulate an open problem.
Cite
@article{arxiv.0909.2779,
title = {Graded commutative algebras: examples, classification, open problems},
author = {Sophie Morier-Genoud and Valentin Ovsienko},
journal= {arXiv preprint arXiv:0909.2779},
year = {2009}
}