Abstract
Let \({\mathscr {C}}\) be a finite projective EI category and k be a field. The singularity category of the category algebra \(k{\mathscr {C}}\) is a tensor triangulated category. We compute its spectrum in the sense of Balmer.
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Acknowledgements
The author is grateful to her supervisor Professor Xiao-Wu Chen for his encouragements and discussions. This work is supported by the Project funded by China Postdoctoral Science Foundation (2018M640584), the National Natural Science Foundation of China (Nos. 11522113, 11571329, 11671174 and 11671245), and the Fundamental Research Funds for the Central Universities.
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Communicated by Henning Krause.
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Wang, R. The Spectrum of the Singularity Category of a Category Algebra. Appl Categor Struct 27, 427–433 (2019). https://doi.org/10.1007/s10485-019-09562-0
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DOI: https://doi.org/10.1007/s10485-019-09562-0