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Hall Polynomials for Weighted projective lines
Jiayi Chen, Bangming Deng, Shiquan Ruan
This paper deals with the triangle singularity defined by the \linebreak equation for weight triple , as well as the category of co…
Derived Hall algebras of root categories
Jiayi Chen, Ming Lu, Shiquan Ruan
For a finitary hereditary abelian category , we define a derived Hall algebra of its root category by counting the triangles and using the octahedral axiom, which is p…
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…
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…