| Autor: |
Amanov, Alimzhan, Yeliussizov, Damir |
| Rok vydání: |
2023 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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