Frobenius–Perron theory of representations of quivers

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) tria...

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Bibliographic Details
Published in:Mathematische Zeitschrift 2022-03, Vol.300 (3), p.3171-3225
Main Authors: Zhang, J. J., Zhou, J.-H.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Number theory
Representations
Tensors
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Summary: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.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-021-02888-3