Circulant matrices and Galois-Togliatti systems

Pietro De Poi, Emilia Mezzetti, Mateusz Michałek, Rosa Maria Miró-Roig, Eran Nevo

Research output: Contribution to journalArticlepeer-review

Abstract

The goal of this article is to compare the coefficients in the expansion of the permanent with those in the expansion of the determinant of a three-lines circulant matrix. As an application we solve a conjecture stated in [17] concerning the minimality of GT-systems.

Original languageAmerican English
Article number106404
JournalJournal of Pure and Applied Algebra
Volume224
Issue number11
DOIs
StatePublished - 1 Nov 2020

Keywords

  • Circulant matrix
  • Laplace equations
  • Monomial ideals
  • Permanent
  • Togliatti systems
  • Weak Lefschetz property

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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