Frobenius-Perron theory of representations of quivers

作者：Zhang, J. J.^*; Zhou, J-H

来源：Mathematische Zeitschrift, 2022, 300(3): 3171-3225.

DOI：10.1007/s00209-021-02888-3

• Frobenius-Perron dimension
• Derived categories
• Quiver representation
• Monoidal triangulated category
• ADE Dynkin quiver

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.

• 单位
  复旦大学