Abstract
We know that \({\mathfrak {su}}(2) \) and \({\mathfrak {so}}(3) \) are real Lie algebras of dimension 3. We shall show that they are isomorphic by showing that there are bases of each in which the commutation relations are the same.
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© 2010 Springer-Verlag New York
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Kosmann-Schwarzbach, P.Y., Singer, S.F. (2010). Lie Groups SU(2) and SO(3). In: Groups and Symmetries. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-78866-1_5
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DOI: https://doi.org/10.1007/978-0-387-78866-1_5
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Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-57041-9
Online ISBN: 978-0-387-78866-1
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