Vandermonde determinantal ideals

  • Junzo Watanabe
  • Kohji Yanagawa

Abstract

We show that the ideal generated by maximal minors (i.e., $k+1$-minors) of a $(k+1) \times n$ Vandermonde matrix is radical and Cohen-Macaulay. Note that this ideal is generated by all Specht polynomials with shape $(n-k,1, …,1)$.

References

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Watanabe, J. and Yanagawa, K., On Specht ideals, in preparation.
Published
2019-10-19
How to Cite
Watanabe, J., & Yanagawa, K. (2019). Vandermonde determinantal ideals. MATHEMATICA SCANDINAVICA, 125(2), 179-184. https://doi.org/10.7146/math.scand.a-114906
Section
Articles