Circulant matrices and Galois-Togliatti systems

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

doi:10.1016/j.jpaa.2020.106404

Circulant matrices and Galois-Togliatti systems

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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-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 language	American English
Article number	106404
Journal	Journal of Pure and Applied Algebra
Volume	224
Issue number	11
DOIs	https://doi.org/10.1016/j.jpaa.2020.106404
State	Published - 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

Access to Document

10.1016/j.jpaa.2020.106404

Cite this

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title = "Circulant matrices and Galois-Togliatti systems",

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.",

keywords = "Circulant matrix, Laplace equations, Monomial ideals, Permanent, Togliatti systems, Weak Lefschetz property",

author = "\{De Poi\}, Pietro and Emilia Mezzetti and Mateusz Micha{\l}ek and Mir{\'o}-Roig, \{Rosa Maria\} and Eran Nevo",

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year = "2020",

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doi = "10.1016/j.jpaa.2020.106404",

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AU - De Poi, Pietro

AU - Mezzetti, Emilia

AU - Michałek, Mateusz

AU - Miró-Roig, Rosa Maria

AU - Nevo, Eran

PY - 2020/11/1

Y1 - 2020/11/1

N2 - 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.

AB - 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.

KW - Circulant matrix

KW - Laplace equations

KW - Monomial ideals

KW - Permanent

KW - Togliatti systems

KW - Weak Lefschetz property

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DO - 10.1016/j.jpaa.2020.106404

M3 - Article

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JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

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ER -

Circulant matrices and Galois-Togliatti systems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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