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We develop a representation theoretic technique for detecting closed orbits that is applicable in all characteristics.
Xxvi.—the monomial expansion of determinantal symmetric functions
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Polar representations
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Lower bounds for cutting planes proofs with small coefficients
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Young tableaux: with applications to representation theory and geometry
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Ran Raz and Pierre McKenzie · 1997
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Symmetric functions and Hall polynomials
Ian Grant Macdonald · 1998
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Enumerative combinatorics. vol. 2, volume 62 of
Richard P Stanley · 1999
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Polynomial bounds for rings of invariants
Harm Derksen · 2001
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Cohomology of vector bundles and syzygies
Jerzy Weyman · 2003
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Complète réductibilité
Jean-Pierre Serre · 2004
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Jan Draisma, Gregor Kemper, and David Wehlau · 2008
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JM Landsberg · 2009
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Two orbits: When is one in the closure of the other?
Geometric complexity theory V: Efficient algorithms for Noether normalization
Ketan D. Mulmuley · 2017
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Operator scaling via geodesically convex optimization, invariant theory and polynomial identity testing
Zeyuan Allen-Zhu, Ankit Garg, Yuanzhi Li, Rafael Oliveira, and Avi Wigderson · 2018
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Degree bounds for semi-invariant rings of quivers
Harm Derksen and Visu Makam · 2018
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Polynomial bound for the nilpotency index of finitely generated nil algebras
Mátyás Domokos · 2018
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Algorithmic and optimization aspects of brascamp-lieb inequalities, via operator scaling
Ankit Garg, Leonid Gurvits, Rafael Oliveira, and Avi Wigderson · 2018
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Constructive non-commutative rank computation is in deterministic polynomial time
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Vladimir L Popov · 2009
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Geometric complexity theory and tensor rank [extended abstract]
Peter Bürgisser and Christian Ikenmeyer · 2011
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Representation theory: a first course
William Fulton and Joe Harris · 2013
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Explicit Noether normalization for simultaneous conjugation via polynomial identity testing
Michael A. Forbes and Amir Shpilka · 2013
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Ideals, varieties, and algorithms
David A. Cox, John Little, and Donal O’Shea · 2015
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Computational invariant theory
Harm Derksen and Gregor Kemper · 2015
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Gábor Ivanyos, Youming Qiao, and K. V. Subrahmanyam · 2018
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Tripartite-to-bipartite entanglement transformation by stochastic local operations and classical communication and the structure of matrix spaces
Yinan Li, Youming Qiao, Xin Wang, and Runyao Duan · 2018
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Towards a theory of non-commutative optimization: Geodesic 1st and 2nd order methods for moment maps and polytopes
Peter Bürgisser, Cole Franks, Ankit Garg, Rafael Mendes de Oliveira, Michael Walter, and Avi Wigderson · 2019
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Orbit closures and invariants
Michael Bate, Haralampos Geranios, and Benjamin Martin · 2019
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More barriers for rank methods, via a” numeric to symbolic” transfer
Ankit Garg, Visu Makam, Rafael Oliveira, and Avi Wigderson · 2019
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Singular tuples of matrices is not a null cone (and, the symmetries of algebraic varieties)
Visu Makam and Avi Wigderson · 2019
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Algorithms for orbit closure separation for invariants and semi-invariants of matrices
Harm Derksen and Visu Makam · 2020
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An exponential lower bound for the degrees of invariants of cubic forms and tensor actions
Harm Derksen and Visu Makam · 2020
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Maximum likelihood estimation for matrix normal models via quiver representations
Harm Derksen and Visu Makam · 2020
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Maximum likelihood estimation for tensor normal models via castling transforms
Harm Derksen, Visu Makam, and Michael Walter · 2020
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Search problems in algebraic complexity, gct, and hardness of generators for invariant rings
Ankit Garg, Christian Ikenmeyer, Visu Makam, Rafael Mendes de Oliveira, Michael Walter, and Avi Wigderson · 2020
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Polynomial time algorithms in invariant theory for torus actions
Peter Bürgisser, M Levent Doğan, Visu Makam, Michael Walter, and Avi Wigderson · 2021
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