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A non-commutative topology on rep A

Lieven Le Bruyn
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Abstract

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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Lieven Le Bruyn. 2003-07-10. A non-commutative topology on rep A. https://arxiv.org/abs/math/0307138

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