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Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology

Fernando Muro
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Abstract

In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity by a compact metrizable space. We explicitly classify their finitely presented modules in the finite and tame cases. The algebra of row-column-finite (or locally finite) matrices over an arbitrary field is one of the algebras considered in this paper, its representation type is shown to be finite.

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BibTeXRIS

Fernando Muro. 2003-10-21. Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology. https://doi.org/10.1007/s10977-004-1837-4

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