Hyperdeterminants of Polynomials (original) (raw)

The hyperdeterminant of a symmetric tensor

Luke Oeding

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Introduction to the Hyperdeterminant and to the Rank of Multidimensional Matrices

Giorgio Ottaviani

Commutative Algebra, 2012

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Definite Determinantal Representations of Multivariate Polynomials

Papri Dey

Journal of Algebra and Its Applications, 2019

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Cayley's hyperdeterminant: a combinatorial approach via representation theory

Mikelis Bickis

Arxiv preprint arXiv:1106.5068, 2011

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On associated discriminants for polynomials in one variable

Boris Shapiro

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Hyperdeterminants

Дмитрий Лещинер

Advances in Mathematics, 1992

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Computing symmetric determinantal representations

Papri Dey

Journal of Software for Algebra and Geometry, 2020

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Mixed discriminants

Maria Angelica Cueto

2012

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Normal and Triangular Determinantal Representations of Multivariate Polynomials

Massimo Salvi

JP Journal of Algebra, Number Theory and Applications

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Some properties of multivariate differential dimension polynomials and their invariants

Alexander Boris Levin

Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation

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The Binet–Cauchy theorem for the hyperdeterminant of boundary format multi-dimensional matrices

Giorgio Ottaviani

Journal of Algebra, 2003

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The 3 × 3 × 3 Hyperdeterminant as a Polynomial in the Fundamental Invariants for {{SL_3(\mathbb{C}) \times SL_3(\mathbb{C}) \times SL_3(\mathbb{C})}}$$ S L 3 ( C ) × S L 3 ( C ) × S L 3 ( C )

Luke Oeding

Mathematics in Computer Science, 2014

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Some results on inhomogeneous discriminants

Maria Angelica Cueto

2006

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Calculating Discriminants by Higher Direct Images

Jerzy Weyman

Transactions of the American Mathematical Society, 1994

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How tangents solve algebraic equations, or a remarkable geometry of discriminant varieties

Gabriel Katz

Expositiones Mathematicae, 2003

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On facets of the Newton polytope for the discriminant of the polynomial system

Ирина Антипова

2021

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A complete characterization of determinantal quadratic polynomials

Papri Dey

Linear Algebra and its Applications, 2018

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Computational classification of multivariate polynomials using symmetries and reductions

Carl Sturtivant

1983

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A Complete Characterization of Quadratic Polynomials that are determinants of Linear Matrix Polynomials

Papri Dey

2016

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Discriminants and Quasi-symmetry

Alex Kite

arXiv (Cornell University), 2017

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Effective identifiability criteria for tensors and polynomials

Massimiliano Mella

Journal of Symbolic Computation, 2018

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Multiplicities of dihedral discriminants

Daniel Mayer

Math. Comp, 1992

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Decomposition Algorithms for Tensors and Polynomials

Rick Rischter

SIAM Journal on Applied Algebra and Geometry

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Multivariate Polynomials, Duality, and Structured Matrices

Bernard Mourrain

Journal of Complexity, 2000

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Normal forms for tensor polynomials. I. The Riemann tensor

Stephen Fulling, Ronald King

Classical and Quantum Gravity, 1992

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Discriminants, symmetrized graph monomials, and sums of squares

Boris Shapiro

2011

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The modular counterparts of Cayley's hyperdeterminants

David Glynn

Bulletin of the Australian Mathematical Society, 1998

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Discriminants of polynomials related to Chebyshev polynomials: The “Mutt and Jeff ” syndrome

Khang Tran

Journal of Mathematical Analysis and Applications, 2011

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A polynomial generalization of the power-compositions determinant

antonio perez montes

Linear and Multilinear Algebra, 2007

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Quasideterminants, I

Vladimir Retakh

Selecta Mathematica, New Series, 1997

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Irreducibility of the Cayley–Menger determinant and of a class of related polynomials

Bach Nguyen

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2017

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On factorization of matrix polynomials

Panayiotis Psarrakos

Linear Algebra and its Applications, 2000

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On generic identifiability of symmetric tensors of subgeneric rank

Giorgio Ottaviani

Transactions of the American Mathematical Society, 2015

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