The action of the special orthogonal group on planar vectors: integrity bases via a generalization of the symbolic interpretation of Molien functions

DOI10.1088/1751-8113/48/3/035201zbMath1315.13018OpenAlexW1979610197MaRDI QIDQ5173211

Frédéric Patras, Guillaume Dhont, Boris I. Zhilinskiĭ

Publication date: 9 February 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/48/3/035201

zbMATH Keywords

orthogonal groupgenerating functiongroup actionMolien function

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Vector and tensor algebra, theory of invariants (15A72) Actions of groups on commutative rings; invariant theory (13A50) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (2)

Algorithms for fundamental invariants and equivariants of finite groups ⋮ Molien generating functions and integrity bases for the action of the \(\mathrm{SO}(3)\) and \(\mathrm{O}(3)\) groups on a set of vectors

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