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Frobenius–Perron theory of representations of quivers

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The Frobenius–Perron theory of an endofunctor of a category was introduced in recent years (Chen et al. in Algebra Number Theory 13(9):2005–2055, 2019; Chen et al. in Frobenius–Perron theory for projective schemes. Preprint. arXiv:1907.02221, 2019). We apply this theory to monoidal (or tensor) triangulated structures of quiver representations.

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Acknowledgements

The authors thank the referee for his/her very careful reading and valuable comments and thank Professors Jianmin Chen and Xiao-Wu Chen for many useful conversations on the subject. J. J. Zhang was partially supported by the US National Science Foundation (Grant Nos. DMS-1700825 and DMS-2001015). J.-H. Zhou was partially supported by Fudan University Exchange Program Scholarship for Doctoral Students (Grant No. 2018024).

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  1. Department of Mathematics, University of Washington, Box 354350, Seattle, WA, 98195, USA

    J. J. Zhang

  2. School of Mathematics, Shanghai University of Finance and Economics, Shanghai, Shanghai, 200433, China

    J.-H. Zhou

  3. Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, Shanghai, 200433, China

    J.-H. Zhou

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Zhang, J.J., Zhou, JH. Frobenius–Perron theory of representations of quivers. Math. Z. 300, 3171–3225 (2022). https://doi.org/10.1007/s00209-021-02888-3

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