Semiregular induction of group representations
- 1 February 1984
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (2), 200-203
- https://doi.org/10.1063/1.526140
Abstract
The method of inducing an irreducible representation of a group from that of a subgroup is extended. This generalized induction process is illustrated to occur in applications and to account for some occurrences of ‘‘intermediate’’ or ‘‘hidden’’ symmetry. Some general results are proved, including a reciprocity theorem relating general induction and subduction processes.Keywords
This publication has 9 references indexed in Scilit:
- Unique labelling of J-states in octahedral symmetryPhysics Letters A, 1983
- Spectroscopic amplitudes for complex cluster systemsNuclear Physics A, 1981
- The diagram lattice as structural principle A. New aspects for representations and group algebra of the symmetric group B. Definition of classification character, mixing character, statistical order, statistical disorder; A general principle for the time evolution of irreversible processesTheoretical Chemistry Accounts, 1975
- Theory of chirality functions, generalized for molecules with chiral ligandsTheoretical Chemistry Accounts, 1973
- Additive electric field gradients and the correlation of Mossbauer quadrupole splitting with stereochemistryMolecular Physics, 1971
- Use of colour symmetry in the theory of additive properties of molecules and complexesChemical Physics Letters, 1970
- Theorie der Chiralit tsfunktionenTheoretical Chemistry Accounts, 1970
- Ein Beweis des Jahn-Teller-Theorems mit Hilfe eines Satzes über die Induktion von Darstellungen endlicher GruppenTheoretical Chemistry Accounts, 1965
- Intermediate symmetryMolecular Physics, 1964