We consider numerical invariants associated with polynomial identities of algebras over a field of characteristic zero. Given an algebra A, one can construct a sequence of non-negative integers cn(A), n = 1, 2, …, called the codimensions of A, which is an important numerical characteristic of identical relations of A. In present talk we discuss asymptotic behaviour of the codimension sequence in different classes of algebras.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
