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The Derived-Discrete Algebras Over the Real Numbers

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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, (J. Algebra, 243, 168–176 2001). 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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Acknowledgements

The author thanks the referee for the very helpful remarks. He is grateful to Xiao-Wu Chen for his guidance and encouragement during his study and visit in USTC. He also thanks Fei Xu and Chao Zhang for their advices.

This work is supported by the National Natural Science Foundation of China (No.12171297).

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Authors and Affiliations

  1. School of Mathematics, Hefei University of Technology, Hefei, 230000, Anhui, PR China

    Jie Li

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  1. Jie Li
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Correspondence to Jie Li.

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Presented by: Christof Geiss

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Li, J. The Derived-Discrete Algebras Over the Real Numbers. Algebr Represent Theor 26, 1141–1162 (2023). https://doi.org/10.1007/s10468-022-10127-4

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  • DOI: https://doi.org/10.1007/s10468-022-10127-4

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