A characterization of the natural grading of the Grassmann algebra

Abstract: Let E be the infinite-dimensional Grassmann algebra over a field of characteristic different from 2. In this talk, we investigate the Isomorphism Problem in the context of the natural Z2-grading of E. We show that this grading is completely determined by its graded polynomial identities. Additionally, we explore the connection between Z2-gradings on E and its automorphisms of order two.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar