Tutte seminar - Ron King

Three types of Schur function product and generating functions for the coefficients appearing in their decomposition

Abstract:

Outer, inner and reduced inner products of Schur functions will be defined and exemplified. Generating functions will be derived for the corresponding Littlewood-Richardson, Kronecker and reduced Kronecker coefficients. Both the power and the limitations of these generating functions will be discussed by means of illustrative examples. If time permits, their use in evaluating stretched versions of the three types of coefficients will be explained.