有限维CSL代数上的Jordan同构(英文)

Jordan automorphisms of finite dimensional CSL algebras

设A是有限维CSL代数,是A上的Jordan自同构.如果代数A满足我们建立的一个温和的条件,则必为同构或者是反同构.

Let A be a finite dimensional CSL algebra and  be a Jordan automorphism of A.In this note,we establish a mild condition on A such that every Jordan automorphism of A is either an isomorphism or an anti-isomorphism.