Some unimodal sequences of Kronecker coefficients
Amanov A. Yeliussizov D.
January 2025Springer Science and Business Media Deutschland GmbH
Mathematische Zeitschrift
2025#309Issue 1
We conjecture unimodality for some sequences of generalized Kronecker coefficients and prove it for partitions with at most two columns. The proof is based on a hard Lefschetz property for corresponding highest weight spaces. We also study more general Lefschetz properties, show implications to a higher-dimensional analogue of the Alon–Tarsi conjecture on Latin squares and give related positivity results.
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Kazakh-British Technical University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Kazakh-British Technical University
Institute of Mathematics and Mathematical Modeling
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