Quaternionic Representations of Compact Groups

Finkelstein, David; Jauch, Joseph-Maria; Speiser, David

doi:10.1063/1.1703880

Scientific article

English

Quaternionic Representations of Compact Groups

ContributorsFinkelstein, David; Jauch, Joseph-Maria; Speiser, David

Published inJournal of mathematical physics, vol. 4, no. 1, p. 136-140

Publication date1963-01

Abstract

The main purpose of this paper is to show the conditions under which a finite dimensional representation of a group, irreducible over the complex field, is reducible over quaternions. The answer is simply stated in terms of the Frobenius-Shur classification of group representations.

Keywords

Topological groups
Representation theory

Affiliation entities

Faculté des sciences / Section de physique / Département de physique théorique

Citation (ISO format)

FINKELSTEIN, David, JAUCH, Joseph-Maria, SPEISER, David. Quaternionic Representations of Compact Groups. In: Journal of mathematical physics, 1963, vol. 4, n° 1, p. 136–140. doi: 10.1063/1.1703880

Article (Published version)

Identifiers

PID : unige:162156
DOI : 10.1063/1.1703880

Additional URL for this publicationhttp://aip.scitation.org/doi/10.1063/1.1703880

Journal ISSN0022-2488

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Quaternionic Representations of Compact Groups

The main purpose of this paper is to show the conditions under which a finite dimensional representation of a group, irreducible over the complex field, is reducible over quaternions. The answer is simply stated in terms of the Frobenius-Shur classification of group representations.

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