Products of characters of the symmetric group

Rosa C. Orellana (Dartmouth College)

Abstract

One of the main open problems in combinatorial representation theory of the symmetric group is to obtain a combinatorial interpretation for what are known as the Kronecker coefficients. The Kronecker coefficients are obtained when we decompose the tensor product of two irreducible representations of the symmetric group. This talk will be an introduction to Kronecker coefficients and a survey of recent results. This presentation should be accessible to beginning graduate students.