A non-commutative topology on rep A
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🧮 math.RA
math.QA
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topologya-representationsdimensionalfinitenon-commutativecompositionenforcedextend
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We extend the Zariski topology on simp A, the finite dimensional simple A-representations, to a non-commutative topology (in the sense of Fred Van Oystaeyen) on rep A, all finite dimensional A-representations, using Jordan-Holder filtrations. The non-commutativity of the topology is enforced by the order of the composition factors.
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