Enumerating quasi-Yamanouchi tableaux of Durfee size two

George Wang

Published 2016-10-13Version 1

Quasi-Yamanouchi tableaux are a refinement of standard Young tableaux that can be used in the expansion of Schur polynomials. We prove a product formula for enumerating certain quasi-Yamanouchi tableaux, and provide strong evidence that no product formula exists in general for other shapes. Along the way, we also prove properties of symmetry and structure.