Back to Commutative Algebra Seminar: Fall 2014
Commutative Algebra Seminar
Date: Friday, Oct 3, 2014
Time: 3:10PM - 4:00PM
Location: LCB 323
Nathan Geer
Utah State University
Title |
Some remarks on quantum sl(2) |
Abstract |
There are several different flavors of quantum sl(2) based on a common algebraic presentation given by generators and uncommunicative relations. In this talk I will discuss an algebra we call the unrolled quantum group and its category of representations. In particular, I will discuss how to classify all indecomposable projective modules in this category and give a graded quiver which describes the maps between these indecomposable projective modules. This work is motived by topological applications. Moreover, conjecturally the category of representations considered in this talk is equivalent to the category of representations of the so called singlet vertex algebra W(2, 2p-1) studied in Conformal Field Theory. This is joint work with Francesco Costantino and Bertrand Patureau. |
Commutative Algebra