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Aug 30, 2018 at 18:41 comment added Benjamin Steinberg As @Alex, points out you don't need algebraically closed since if you divide the trace of the primitive idempotent by the dimension of the endomorphism algebra of the simple you get the multiplicity of the simple as a constituent.
Aug 30, 2018 at 16:56 history answered Benjamin Steinberg CC BY-SA 4.0