Rational invariants of even ternary forms under the orthogonal group
DOI10.1007/s10208-018-9404-1zbMath1439.13019arXiv1707.09979OpenAlexW2739911215WikidataQ128960331 ScholiaQ128960331MaRDI QIDQ2007854
Evelyne Hubert, Paul Görlach, Théo Papadopoulo
Publication date: 22 November 2019
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.09979
harmonic polynomialsorthogonal groupslicediffusion MRIrational invariantsneuroimagingcomputational invariant theory
Symbolic computation and algebraic computation (68W30) Representations of finite symmetric groups (20C30) Geometric invariant theory (14L24) Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Actions of groups on commutative rings; invariant theory (13A50) Symmetric groups (20B30) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)
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Cites Work
- Scaling invariants and symmetry reduction of dynamical systems
- Computational invariant theory. With two appendices by Vladimir L. Popov and an addendum by Nobert A. Campo and Vladimir L. Popov
- Spherical harmonics and approximations on the unit sphere. An introduction
- Smooth and algebraic invariants of a group action: Local and global constructions
- Spectral decomposition of a 4th-order covariance tensor: applications to diffusion tensor MRI
- Computation of cubic harmonics
- About Gordan's algorithm for binary forms
- A minimal integrity basis for the elasticity tensor
- Rational invariants of a group action. Construction and rewriting
- Numerical methods for general and structured eigenvalue problems.
- Cubic harmonics as linear combinations of spherical harmonics
- On a theorem of Weitzenböck in invariant theory
- Harmonic Function Theory
- Some Basic Theorems on Algebraic Groups
- Symmetry, Representations, and Invariants
- Rational invariants of scalings from Hermite normal forms
- Computation of invariants of finite abelian groups
- Algorithms in invariant theory
- Algebraic quotients of compact group actions
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