Open Questions for operators related to Rectangular Catalan Combinatorics
Fran\c{c}ois Bergeron
TL;DR
This paper explores open questions about the Schur positivity of certain operators on symmetric functions, providing evidence for their expected behavior in the context of rectangular Catalan combinatorics.
Contribution
It formulates numerous open problems and offers supporting evidence concerning the Schur positivity of operators related to rectangular Catalan combinatorics.
Findings
Proposes open questions about Schur positivity.
Provides evidence supporting expected operator behavior.
Highlights connections to rectangular Catalan combinatorics.
Abstract
We formulate many open questions regarding the Schur positivity of the effect of interesting operators on symmetric functions, and give supporting evidence for why one should expect such behavior.
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