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

Authors :
Campoamor-Stursberg, Rutwig
Campoamor-Stursberg, Rutwig
Publication Year :
2023

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.<br />Ministerio de Economía y Competitividad (MINECO)<br />Depto. de Álgebra, Geometría y Topología<br />Fac. de Ciencias Matemáticas<br />Instituto de Matemática Interdisciplinar (IMI)<br />TRUE<br />pub

Details

Database :
OAIster
Notes :
application/pdf, 2073-8994, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1413949067
Document Type :
Electronic Resource