English

A note on the reducedness and Gr\"obner bases of Specht ideals

Commutative Algebra 2021-11-11 v1

Abstract

The Specht ideal of shape λ\lambda, where λ\lambda is a partition, is the ideal generated by all Specht polynomials of shape λ\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.

Keywords

Cite

@article{arxiv.2111.05525,
  title  = {A note on the reducedness and Gr\"obner bases of Specht ideals},
  author = {Satoshi Murai and Hidefumi Ohsugi and Kohji Yanagawa},
  journal= {arXiv preprint arXiv:2111.05525},
  year   = {2021}
}

Comments

5 pages