Categoria:
Altro (categoria non censita)
Categoria non censita:
Algebra & Representation Theory Seminar (ARTS)
Data e ora inizio evento:
Data e ora fine evento:
Aula:
Altro (Aula esterna al Dipartimento)
Sede:
Dipartimento di Matematica, Tor Vergata
Aula esterna:
Aula Dal Passo
Speaker:
Javier Alejandro De Loera Chavez (Sapienza)
An algebra A is called PI if there is some polynomial in non
commuting variables that vanishes under every evaluation on elements of
A. Simple examples of PI algebras include finite-dimensional algebras
and commutative algebras. In general, it is a hard problem to recognize
when an algebra is PI. In this talk, I will describe a simple
characterization of the quivers with a PI path algebra. I will then
explain how to describe the full T-ideal of their polynomial identities
in terms of a preorder incidence algebra that is naturally associated
with the quiver. This is based on joint work with A. Berele, G. Cerulli
Irelli, and E. Pascucci.