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2019 Frobenius–Perron theory of endofunctors
Jianmin Chen, Zhibin Gao, Elizabeth Wicks, James J. Zhang, Xiaohong Zhang, Hong Zhu
Algebra Number Theory 13(9): 2005-2055 (2019). DOI: 10.2140/ant.2019.13.2005

Abstract

We introduce the Frobenius–Perron dimension of an endofunctor of a k -linear category and provide some applications.

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Jianmin Chen. Zhibin Gao. Elizabeth Wicks. James J. Zhang. Xiaohong Zhang. Hong Zhu. "Frobenius–Perron theory of endofunctors." Algebra Number Theory 13 (9) 2005 - 2055, 2019. https://doi.org/10.2140/ant.2019.13.2005

Information

Received: 4 April 2018; Revised: 4 April 2019; Accepted: 25 June 2019; Published: 2019
First available in Project Euclid: 14 December 2019

zbMATH: 07141308
MathSciNet: MR4039495
Digital Object Identifier: 10.2140/ant.2019.13.2005

Subjects:
Primary: 16E10,18E30,16G60
Secondary: 16E35

Keywords: Complexity , derived categories , embedding of categories , Frobenius–Perron dimension , tame and wild dichotomy

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.13 • No. 9 • 2019
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