Distance-regular graphs and the quantum affine algebra Uq(bsl2)
published: Sept. 7, 2007, recorded: September 2007, views: 4325
Report a problem or upload filesIf you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
Combinatorial objects, such as graphs, can often be used to construct representations of abstract algebras. In this talk we will consider a graph possessing a high degree of regularity, known as a distance-regularity. For this graph we define an algebra generated by the adjacency matrix and a certain diagonal matrix. There exists a set of elements in this algebra that, under a minor assumption, satisfy some attractive relations. Using these relations we obtain a representation of the quantum affine sl2 algebra.
Link this pageWould you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !