PBW Basis of the Modified Ringel–Hall Algebra of Type An via Gröbner–Shirshov Basis

In the Ringel–Hall algebra of Dynkin type, the set of all commutator relations between the isoclasses of indecomposable representations forms a minimal Gröbner–Shirshov basis, and the set of the corresponding irreducible elements forms a PBW-type basis of the Ringel–Hall algebra. The aim of this pap...

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Bibliographic Details
Main Authors: Desheng Hu, Abdukadir Obul
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/6820173
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