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

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Campoamor-Stursberg, Rutwig (2015) An Elementary Derivation of the Matrix Elements of Real Irreducible Representations of so(3). Symmetry, 7 (3). pp. 1655-1669. ISSN 2073-8994

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Official URL: https://doi.org/10.3390/sym7031655




Abstract

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.


Item Type:Article
Uncontrolled Keywords:Real representation; Matrix element; Tensor product
Subjects:Sciences > Mathematics > Algebra
ID Code:63199
Deposited On:30 Nov 2020 15:53
Last Modified:27 Sep 2022 12:03

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