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An action of a group on an object, here initially a set, respecting multiplication and identity.
wp-group-actionnlab-group-actionetingof-representation-theoryEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Use the group multiplication to act associatively on the set and let the group identity act trivially.
Feed several structures into a construction junction and impose compatibility between them.
wp-group-actionnlab-group-actionetingof-representation-theoryEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Treat an action of a fixed group as a -set.
Reinterpret an object, pass to an equivalent presentation, or relate canonically corresponding structures; the carrier may change.
wp-g-setnlab-g-setetingof-representation-theoryThis is an authored directed relation from the source endpoint to the target endpoint.
Molecular point-group operations act on nuclear coordinates, orbitals, and normal modes; the resulting representations classify states and constrain spectral selection rules.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-group-actionetingof-representation-theoryiupac-gold-bookopenstax-chemistry-2e