Combinatorial Interpretations for the Littlewood-Richardson Numbers

By Ningning Ma

April 15, 2013

Abstract

Littlewood-Richardson numbers are structure constants for Schur polynomials, representations of symmetric groups and many other objects. An interesting problem is to find combinatorial interpretations for them. I will introduce two such rules: LR-tableaux and KT-puzzles, then discuss the internal relationship between them.