Kronecker coefficients for symmetric group characters

by Sebbe Stouten (Ghent University)

Location: Campus Sterre, Building S8, Classroom 3.2, Ghent
Time: Friday February 22, 2019 at 13:30

When studying the ring of symmetric functions, Schur functions show up as a useful Z-basis. We can define the Littlewood-Richardson coefficients by multiplying two Schur functions. However, we can also use the connection between Schur functions and characters of the symmetric group to define another multiplication on Schur functions, given by the Kronecker coefficients. We will discuss coproducts using both kinds of coefficients, and will end with a generating function for the Kronecker coefficients.