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- W3164933248 abstract "Abstract We show that the Specht ideal of a two-rowed partition is perfect over an arbitrary field, provided that the characteristic is either zero or bounded below by the size of the second row of the partition, and we show this lower bound is tight. We also establish perfection and other properties of certain variants of Specht ideals, and find a surprising connection to the weak Lefschetz property. Our results, in particular, give a self-contained proof of Cohen–Macaulayness of certain h -equals sets, a result previously obtained by Etingof–Gorsky–Losev over the complex numbers using rational Cherednik algebras." @default.
- W3164933248 created "2021-06-07" @default.
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- W3164933248 date "2021-12-09" @default.
- W3164933248 modified "2023-10-17" @default.
- W3164933248 title "PRINCIPAL RADICAL SYSTEMS, LEFSCHETZ PROPERTIES, AND PERFECTION OF SPECHT IDEALS OF TWO-ROWED PARTITIONS" @default.
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- W3164933248 doi "https://doi.org/10.1017/nmj.2021.17" @default.
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