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projective representation

homomorphism G → PGL(V) from a group G to a projective linear group PGL(V) over a vector space V

en-GB/pɹəˈd͡ʒɛktɪv ˌɹɛpɹɪzɛnˈteɪʃn/
en-US/pɹəˈd͡ʒɛktɪv ˌɹɛpɹəzɛnˈteɪʃən/

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group homomorphism