Molien generating functions and integrity bases for the action of the \(\mathrm{SO}(3)\) and \(\mathrm{O}(3)\) groups on a set of vectors
DOI10.1007/s10910-021-01277-9zbMath1485.13015arXiv1511.01311OpenAlexW3199288428MaRDI QIDQ2065667
Guillaume Dhont, Patrick Cassam-Chenaï, Frédéric Patras
Publication date: 12 January 2022
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.01311
orthogonal groupinvariant theorydipole moment surfaceextended integrity basisquadrupole moment surface
Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Vector and tensor algebra, theory of invariants (15A72) Applications of Lie groups to the sciences; explicit representations (22E70) Actions of groups on commutative rings; invariant theory (13A50) Applications of group representations to physics and other areas of science (20C35)
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