The derived-discrete algebras over the real numbers

Abstract

We classify derived-discrete algebras over the real numbers up to Morita equivalence, using the classification of complex derived-discrete algebras in [ D. Vossieck, The algebras with discrete derived category, J. Algebra 243 (2001), 168--176]. To this end, we investigate the quiver presentation of the complexified algebra of a real algebra given by a modulated quiver and an admissible ideal.

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