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Semiregular induction of group representations. (English) Zbl 0569.20014

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.

MSC:

20C35 Applications of group representations to physics and other areas of science
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
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[1] DOI: 10.1007/BF00525841 · doi:10.1007/BF00525841
[2] DOI: 10.1080/00268976400100261 · doi:10.1080/00268976400100261
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.