Representation theory and homology of Yang-Mills algebras
Starts 20 Oct 2010 15:30
Ends 20 Oct 2010 20:00
Central European Time
ICTP
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
This is a joint work with Estanislao Herscovich.
Yang-Mills algebras have been defined by Alain Connes and Michel Dubois-Violette in connection to some problems arising from string theory and noncommutative quantum field theory.
Although it is possible to describe in a simple way every irreducible finite dimensional representation, the task of characterizing the complete category of representations of a Yang-Mills algebra is rather difficult.
The aim of this talk is threefold.
In the first place, I will recall the general definitions and the main properties of these algebras.
Then, I will focus on exhibiting certain families of representations fine enough to separate elements of the Yang-Mills algebras.
Finally, I shall also present several computations in relation to homological properties for these algebras, in particular, the Hochschild and Cyclic homology.