Frobenius–Perron Theory of Representation-directed Algebras

Frobenius–Perron Theory of Representation-directed Algebras
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表示导向代数的 Frobenius-Perron 理论

DOI:
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发表时间:
2022
期刊:
Frontiers of Mathematics
影响因子:
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通讯作者:
Jiayi Chen
Jiayi Chen
中科院分区:
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文献类型:
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作者:
Jianmin Chen;Jiayi Chen

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We study the Frobenius–Perron dimension of representation-directed algebras and quotient algebras of canonical algebras of type ADE , prove that the Frobenius–Perron dimension of a representation-directed algebra is always zero and the Frobenius–Perron dimension of a quotient algebra of canonical algebras of type ADE is 0 or 1. Moreover, we give a sufficient and necessary condition for a quotient algebra of a canonical algebra of type ADE under which its Frobenius–Perron dimension is 0.
DOI: 10.1090/tran/8624
发表时间: 2019-07
影响因子: 1.3
作者:
J. Chen;Z. Gao;E. Wicks;J. J. Zhang-J.;X-.H. Zhang;H. Zhu
通讯作者: J. Chen;Z. Gao;E. Wicks;J. J. Zhang-J.;X-.H. Zhang;H. Zhu