In this talk we consider the *-polynomial identities of algebras with involutions. The positive solution of Specht’s problem, given by Aljadeff, Giambruno and Karasik, for the T*-ideals of the free algebra with involution, show the decisive role of the identities of finite-dimensional superalgebras with superinvolution. In this talk we consider block-triangular matrix algebras related to any sequence of such *-simple superalgebras. These *-simple superalgebras are also involved in determining the exact value of the correponding exponent. We review the results in this area and we show that that every minimal affine variety of superalgebras with superinvolution is generated by one of the block-triangular matrix algebras we introduced.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
