Rectangular symmetries for coefficients of symmetric functions

Abstract

We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coefficients, Kronecker coefficients, plethysm coefficients, and the Kostka--Foulkes polynomials) share symmetries related to the operations of taking complements with respect to rectangles and adding rectangles.

16 pages

References in corpus (1)

• Computing Multiplicities of Lie Group Representations

Cited by in corpus (2)

• Partial symmetries of iterated plethysms
• Lowest Dimensional Portals to SU($N$) Exotics