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Article

An Elementary Derivation of the Matrix Elements of Real Irreducible Representations of so(3)

Instituto de Matemática Interdisciplinar and Department of Geometry and Topology, Universidad Complutense de Madrid, Plaza de Ciencias 3, E-28040 Madrid, Spain
Academic Editor: Roman M. Cherniha
Symmetry 2015, 7(3), 1655-1669; https://doi.org/10.3390/sym7031655
Received: 30 June 2015 / Revised: 7 September 2015 / Accepted: 10 September 2015 / Published: 14 September 2015
(This article belongs to the Special Issue Lie Theory and Its Applications)
Using elementary techniques, an algorithmic procedure to construct skew-symmetric matrices realizing the real irreducible representations of so(3) is developed. We further give a simple criterion that enables one to deduce the decomposition of an arbitrary real representation R of so(3) into real irreducible components from the characteristic polynomial of an arbitrary representation matrix. View Full-Text
Keywords: real representation; matrix element; tensor product real representation; matrix element; tensor product
MDPI and ACS Style

Campoamor-Stursberg, R. An Elementary Derivation of the Matrix Elements of Real Irreducible Representations of so(3). Symmetry 2015, 7, 1655-1669. https://doi.org/10.3390/sym7031655

AMA Style

Campoamor-Stursberg R. An Elementary Derivation of the Matrix Elements of Real Irreducible Representations of so(3). Symmetry. 2015; 7(3):1655-1669. https://doi.org/10.3390/sym7031655

Chicago/Turabian Style

Campoamor-Stursberg, Rutwig. 2015. "An Elementary Derivation of the Matrix Elements of Real Irreducible Representations of so(3)" Symmetry 7, no. 3: 1655-1669. https://doi.org/10.3390/sym7031655

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