Graded commutative algebras: examples, classification, open problems

Sophie Morier-Genoud; Valentin Ovsienko

doi:10.1063/1.3275586

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arXiv · 0909.2779

Graded commutative algebras: examples, classification, open problems

Sophie Morier-Genoud·Valentin Ovsienko

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Abstract

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.

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Sophie Morier-Genoud, Valentin Ovsienko. 2009-09-15. Graded commutative algebras: examples, classification, open problems. https://doi.org/10.1063/1.3275586

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