Palestra 3: PI-algebras and additional structures

Resumo: Studies about the asymptotic behavior of the corresponding types of polynomial identities in finite dimensional associative algebras with additional structures have attracted the attention of several mathematicians in the last years. According to Gordienko, some class of such algebras can be reduced to generalized H-actions and here we consider the particular case of algebras graded by a finite group G and endowed with an involution which preserves the grading. In the talk, I will present some recent results about the codimension sequence of varieties of algebras with additional structure and polynomial growth.