Ranks of linear matrix pencils separate simultaneous similarity orbits
From MaRDI portal
Publication:2684535
DOI10.1016/j.aim.2023.108888OpenAlexW3201184365MaRDI QIDQ2684535
Jurij Volčič, Visu Makam, Igor Klep, H. G. J. Derksen
Publication date: 16 February 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.09418
Group actions on varieties or schemes (quotients) (14L30) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Representations of associative Artinian rings (16G10) Matrix pencils (15A22)
Cites Work
- Polynomial degree bounds for matrix semi-invariants
- Free loci of matrix pencils and domains of noncommutative rational functions
- Testing isomorphism of modules.
- Partial orders on representations of algebras.
- Degenerations of representations of associative algebras.
- On closures of joint similarity orbits
- Vector spaces of matrices of low rank
- The invariant theory of \(n\times n\) matrices
- Some linear preserver problems on \(B(H)\) concerning rank and corank
- Constructive non-commutative rank computation is in deterministic polynomial time
- Geometry of free loci and factorization of noncommutative polynomials
- Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via operator scaling
- Completely rank-nonincreasing linear maps on spaces of operators
- Completely rank-nonincreasing linear maps
- On degenerations and extensions of finite dimensional modules
- Algorithms for orbit closure separation for invariants and semi-invariants of matrices
- Arveson extreme points span free spectrahedra
- Isometric Dilations of Non-Commuting Finite Rank n-Tuples
- Geometric Complexity Theory I: An Approach to thePvs.NPand Related Problems
- Geometric complexity theory V: Efficient algorithms for Noether normalization
- Non-commutative arithmetic circuits with division
- Linear matrix inequality representation of sets
- Degenerations for representations of quivers with relations
- Geometric Invariant Theory
- Completely rank nonincreasing linear maps on nest algebras
- Smoothness in Algebraic Geography
- Linear maps on von Neumann algebras preserving zero products on tr-rank
- An Introduction to Quiver Representations
- Invariant Theory and Scaling Algorithms for Maximum Likelihood Estimation
- Maximum Likelihood Estimation for Matrix Normal Models via Quiver Representations
- Factorization of Noncommutative Polynomials and Nullstellensätze for the Free Algebra
- The Paulsen problem, continuous operator scaling, and smoothed analysis
- Über den Wertevorrat einer Matrix
- Representation theory of finite-dimensional algebras
- Simultaneous similarity of matrices
- Derandomizing polynomial identity tests means proving circuit lower bounds
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
