Mathematics and Statistics Colloquium
"Quivers and Current Algebras Associated to Simple Lie Algebras"Abstract: A quiver is a directed graph; in other words, it is a pair (Q0; Q1) where Q0 is a collection of vertices and Q1 is a collection of arrows between the vertices. One can associate to a quiver Q, in a natural way, an algebra KQ over a field K; this algebra is called the path algebra of Q, and, under some very simple conditions, it is a finite-dimensional unital algebra. A current algebra is the Lie algebra consisting of polynomial maps from the complex numbers to a simple Lie algebra; in particular, the current algebra is an infinite-dimensional Lie algebra. We shall see that there is a remarkable connection between the representation theory of current algebras and representations of quivers satisfying certain relations.
Note that there will be an AGANT talk the same day at UTA at 4:30 pm
by the same speaker. Please see
for more details. Refreshments will be served in PKH 304 between the