Algebra seminar
Javier De Loera Chávez (Sapienza Univ., Rome): Quivers with polynomial identities
Abstract: An algebra A is called PI if it satisfies a polynomial identity, that is, if there exists a polynomial in non commuting variables that vanishes under every evaluation on elements of A. Simple examples of PI algebras include all finite-dimensional algebras and all commutative algebras. In this talk, we present a characterization of the quivers whose path algebras are PI. Furthermore, we describe the full ideal of polynomial identities of a PI path algebra in terms of an incidence algebra naturally associated with the quiver. This is based on joint work with A. Berele, G. Cerulli Irelli, and E. Pascucci.
February 16 - TBA
The Algebra Seminar was founded by Vladimir Korinek in the early 1950's and continued by Karel Drbohlav until 1981. The seminar resumed its activities in 1990 under the guidance of Jaroslav Jezek and Tomas Kepka. Since 1994, the seminar is headed by Jan Trlifaj.
Presently, the seminar is supported by GACR. It serves primarily as a platform for presentation of recent research of the visitors to the Department of Algebra as well as members of the Department and their students.
