JP Journal of Geometry and Topology
Volume 26, Issue 2, Pages 139 - 147
(December 2021) http://dx.doi.org/10.17654/GT026020139 |
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A NOTE ON THE ADJOINT REPRESENTATION AND ONE PARAMETER SUBGROUP OF SU(2)
U. E. Edeke and J. A. Abuchu
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Abstract: A unique way of obtaining the matrix elements of the adjoint representation of SU(2) is presented. Some isomorphism results on SU(2) and the explicit computation of its one parameter subgroups are also given. |
Keywords and phrases: adjoint representation, isomorphism, one parameter subgroup.
Received: March 13, 2021; Revised: August 23, 2021; Accepted: October 23, 2021
How to cite this article: U. E. Edeke and J. A. Abuchu, A note on the adjoint representation and one parameter subgroup of SU(2), JP Journal of Geometry and Topology 26(2) (2021), 139-147. DOI: 10.17654/GT026020139
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] J. Faraut, Analysis on Lie Groups: An Introduction, Cambridge University Press, New York, 2008. [2] S. C. Bagchi, S. Madan, S. Sitaram and U. B. Terwari, A First Course in Representation Theory and Linear Lie Groups, Universities Press (India) Limited, 2008. [3] J. Stillwell, Naive Lie Theory, Springer, 2008.
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