Katarina Spasojevic, USRA, Department of Pure Mathematics, University of Waterloo
Abstract: The aim of this learning seminar is to provide a gentle introduction to Temperley-Lieb algebras. We will start with some enumeration of Temperley-Lieb diagrams, then we will discuss how these diagrams are organized into a monoid, out of which we obtain the Temperley-Lieb algebra $TL_n ( \beta )$. This will be followed by studying some structural properties of $TL_n ( \beta )$, and its representations. The sources used for the presentations are the monograph [1] listed below, and some survey papers that are available online, e.g. [2] below.
References:
[1] Coxeter graphs and towers of algebras, by F.M. Goodman, P. de la Harpe and V.F.R. Jones. Volume 14 of MSRI Publications, Springer-Verlag, 1989.
[2] An introduction to the representation theory of Temperley-Lieb algebras, by J. de Groot. Bachelor's Thesis at the University of Amsterdam, 2015.
The seminar will meet on Zoom.
Meeting ID: 947 3151 2522
Passcode: 735851