Bose-Mesner algebra and subconstituent algebra of an association scheme, Sung Y. Song, Iowa State University, Wed, 9 September, 2009, 3:00 p.m. C-209
We will discuss an algebraic approach to the characterization problem for an association scheme. We survey properties of the Bose-Mesner algebra and the subconstituent algebra of a metric scheme in algebraic combinatorics, an area that includes theory of association schemes, algebraic graph theory, coding theory, group representation theory, design theory, among others.
The main topics discussed include the following: