分次交换代数:例子,分类,开放问题
Graded commutative algebras: examples, classification, open problems
摘要:
考虑$\G$ -分次交换代数,其中$\G$是交换群.从一个显着的例子,古典代数的四元数,更一般地说,一个任意的Clifford代数,我们开发一个一般的观点对这个问题。然后,我们给出了最近的分类结果,并制定了一个开放的问题。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。