%0 Journal Article %T Graded commutative algebras: examples, classification, open problems %A Sophie Morier-Genoud %A Valentin Ovsienko %J Mathematics %D 2009 %I arXiv %R 10.1063/1.3275586 %X We consider $\G$-graded commutative algebras, where $\G$ 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. %U http://arxiv.org/abs/0909.2779v1