Generalized nil Temperley--Lieb algebras, which are defined by generators and relations, are certain associative algebras arising from Coxeter systems. I will discuss the extent to which it is possible to classify the finite dimensional representations of such algebras. This will involve a review of some important topics in representation theory, including Morita equivalence and representation type.
Representation theory of nil Temperley--Lieb algebras and related algebras
Feb. 07, 2017 3pm (Math 220)
Functional Analysis
Alex Kumjian (University of Nevada, Reno)
X
Let be an amenable locally compact groupoid, and let be a closed subgroup of a locally compact abelian group . Given a -valued -cocycle on , there is a central extension of by that is trivial iff lifts to a -valued cocycle. We prove that is isomorphic to the induced algebra of the natural action of on . We also consider a simple class of examples arising from Cech -cocycles. This is joint work with Marius Ionescu.
Obstructions to Lifting Cocycles on Groupoids and the Associated -Algebras (Part I)
Feb. 07, 2017 3pm (MATH 350)
Topology
Matthew Pierson (CU Boulder) The Stable Homotopy Category as a Triangulated Symmetric Monoidal Category