Jump to Content
Your Recent History
View Cart
LOG IN or SELECT A PURCHASE OPTION:
J. Math. Phys. 24, 1 (1983); http://dx.doi.org/10.1063/1.525592 (7 pages)
Type‐adapted representations of semidirect product groups
(Received 7 August 1981; accepted 16 September 1981)
Alerts
Alert Me When Cited
Alert Me When Corrected
Tools
Download Citation
Add to MyScitation
Permissions / Reprints
Blog This Article
Print-Friendly
Research Toolkit
Share
Email Abstract
Connotea
CiteULike
del.icio.us
BibSonomy
Tweet this Article
Add to FacebookIrreducible representations of compact groups can be partitioned into three classes (character test +,0,−). This classification is the same for real, complex, and quaternionic representations and in all three cases a peculiar, type‐adapted form of the representation matrices may be chosen (t reps). In this paper it is shown how to construct t reps of semidirect products G s g starting with t reps of G and t reps of some covering groups of subgroups of g. The advantage of using t reps shows up in that the factor system of the little cogroups is real in two of three cases and that real, complex, and quaternionic representations are obtained simultaneously. The method is specialized to direct products and generalized to induction from normal subgroups.
KEYWORDS and PACS
PACS
-
Group theory
ARTICLE DATA
Digital Object Identifier
PUBLICATION DATA
For access to fully linked references, you need to log in.
-
P. Kasperkovitz, J. Math. Phys. 22, 2417 (1981JMAPAQ000022000011002417000001).
P. Kasperkovitz and G. Kahl, J. Math. Phys. 22, 2404 (1981JMAPAQ000022000011002404000001).
R. Dirl, J. Math. Phys. 18, 2065 (1977JMAPAQ000018000010002065000001).
This Publication
Scitation
SPIN
Google Scholar
PubMed