Olga Azenhas "Partitions with Schur support full equivalence are monotone ribbons with full Schur support"

We give a complete system of linear inequalities in terms of the partition encoding the monotone connected ribbon shape and its overlapping partition under which the ribbon Schur function has full Schur support when expanded in the basis of Schur functions. We then conclude that the Gaetz-Hardt-Sridhar necessary condition for a connected ribbon to have support full equivalence class is equivalent to the condition for a monotone connected ribbon to have full Schur support. Hence, the set of partitions with full equivalence class is a subset of those with full Schur support. M. Gaetz, W. Hardt and S. Sridhar conjectured that their necessary condition is also sufficient which now translates to every partition with full Schur support has full equivalence class.

This is ongoing joint work with R. Mamede.

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