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Some results on invariant theory
Published 2005Subjects: “…invariant theory…”
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Super invariant theory in positive characteristic
Published 2023“…Abstract We study invariant theory of the general linear supergroup in positive characteristic. …”
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Combinatorial invariant theory of projective reflection groups
Published 2009-01-01Get full text
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Variation of non-reductive geometric invariant theory
Published 2018“…<p>Variation of Geometric Invariant Theory (VGIT) [DH98, Tha96] studies the structure of the dependence of a GIT quotient on the choice of linearisation. …”
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Towards non-reductive geometric invariant theory
Published 2007“…A guiding goal for us is to understand the cohomology of "quotients" under such actions, by generalizing (from reductive to non-reductive group actions) existing methods involving Mumford's geometric invariant theory (GIT). We concentrate on actions of unipotent groups H, and define sets of stable points X s and semistable points X ss, often explicitly computable via the methods of reductive GIT, which reduce to the standard definitions due to Mumford in the case of reductive actions. …”
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On the Propagation of Gravitational Waves in the Weyl Invariant Theory of Gravity
Published 2024-09-01Get full text
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Time scaling of entanglement in integrable scale-invariant theories
Published 2022-04-01“…In two-dimensional isotropic scale-invariant theories, the time scaling of the entanglement entropy of a segment is fixed via the conformal symmetry. …”
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On the normalisation of the modular forms in modular invariant theories of flavour
Published 2024-03-01Get full text
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The evolving Planck mass in classically scale-invariant theories
Published 2017-04-01“…Abstract We consider classically scale-invariant theories with non-minimally coupled scalar fields, where the Planck mass and the hierarchy of physical scales are dynamically generated. …”
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Invariant theory and scaling algorithms for maximum likelihood estimation
Published 2021“…Our approach reveals promising consequences of the interplay between invariant theory and statistics. In particular, existing scaling algorithms from statistics can be used in invariant theory, and vice versa.…”
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Geometric invariant theory for graded unipotent groups and applications
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Universal structures in C-linear enumerative invariant theories
Published 2022“…An enumerative invariant theory in algebraic geometry, differential geometry, or representation theory, is the study of invariants which `count' τ-(semi)stable objects E with fixed topological invariants [[E]]=α in some geometric problem, by means of a virtual class [Mssα(τ)]virt in some homology theory for the moduli spaces Mstα(τ)⊆Mssα(τ) of τ-(semi)stable objects. …”
Journal article