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New realization of quantum groups via -Hall algebras
Jiayi Chen, Yanan Lin, Shiquan Ruan
For an essentially small hereditary abelian category , we define a new kind of algebra , called the -Hall algebra of . The…
math.RT2022
Frobenius-Perron theory of representation-directed algebras
J. M. Chen, J. Y. Chen
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…