A note on the reducedness and Gröbner bases of Specht ideals

2021/11/10 by Murai, Satoshi, Ohsugi, Hidefumi, Yanagawa, Kohji · 1 citation
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2111.05525

Abstract

The Specht ideal of shape λ, where λ is a partition, is the ideal generated by all Specht polynomials of shape λ. Haiman and Woo proved that these ideals are reduced and found their universal Gröbner bases. In this short note, we give a short proof for these results.

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