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

Downloads

Downloads per month over past year

63199

Impacto

Downloads

Downloads per month over past year

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

[thumbnail of symmetry-07-01655.pdf]
Preview
PDF
Creative Commons Attribution.

261kB

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:30 Nov 2020 16:23

Origin of downloads

Repository Staff Only: item control page