Decompositions of Ideals of Minors Meeting a Submatrix

Kent M. Neuerburg, Zach Teitler

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We compute the primary decomposition of certain ideals generated by subsets of minors in a generic matrix or in a generic symmetric matrix, or subsets of Pfaffians in a generic skew-symmetric matrix. Specifically, the ideals we consider are generated by minors that have at least some given number of rows and columns in certain submatrices.

Original languageAmerican English
Pages (from-to)1809-1820
Number of pages12
JournalCommunications in Algebra
Volume44
Issue number4
DOIs
StatePublished - 1 Apr 2016

Keywords

  • Determinantal ideals
  • Pfaffian ideals
  • Primary decomposition
  • Straightening laws

EGS Disciplines

  • Mathematics

Fingerprint

Dive into the research topics of 'Decompositions of Ideals of Minors Meeting a Submatrix'. Together they form a unique fingerprint.

Cite this