Given the generators $X_{a}$ (with $a=1, ldots, N$ ) of a Lie algebra, prove that the second-order

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Given the generators $X_{a}$ (with $a=1, \ldots, N$ ) of a Lie algebra, prove that the second-order Casimir operator $C^{(2)}=\sum_{a=1}^{N} X_{a} X_{a}$ commutes with all the generators.

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Mathematical Methods For Physics An Introduction To Group Theory Topology And Geometry

ISBN: 9781107191136

1st Edition

Authors: Esko Keski Vakkuri, Claus Montonen, Marco Panero

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Question Posted: May 07, 2024 03:00 AM

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Given the generators $X_{a}$ (with $a=1, ldots, N$ ) of a Lie algebra, prove that the second-order

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Mathematical Methods For Physics An Introduction To Group Theory Topology And Geometry

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