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adjoint representation

representation of a Lie group on its Lie algebra

en-GB/əd͡ʒɔɪnt ˌɹɛpɹɪzɛnˈteɪʃn/
en-US/əˈd͡ʒɔɪnt ˌɹɛpɹəzɛnˈteɪʃən/

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representation of a Lie group