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A note on the reducedness and Gröbner bases of Specht ideals

Published 10 Nov 2021 in math.AC | (2111.05525v1)

Abstract: The Specht ideal of shape $\lambda$, where $\lambda$ is a partition, is the ideal generated by all Specht polynomials of shape $\lambda$. Haiman and Woo proved that these ideals are reduced and found their universal Gr\"obner bases. In this short note, we give a short proof for these results.

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