Graded Commutative Algebras: Examples, Classification, Open Problems

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 formul...

Full description

Saved in:
Bibliographic Details
Main Authors: Morier-Genoud, S, Ovsienko, V
Format: Book Chapter
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0094-243X