Graded commutative algebras: examples, classification, open problems

Details Graded commutative algebras: examples, classification, open problems Graded commutative algebras: examples, classification, open problems

2009-09-15

arxiv.org/abs/0909.2779v1

AIP Conf.Proc.1191:141-147,2009

Physics

Mathematical Physics

Scientific paper

10.1063/1.3275586

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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