A class of quantum doubles of pointed Hopf algebras of rank one

We construct a class of quantum doubles D ( H D n ) of pointed Hopf algebras of rank one H D . We describe the algebra structures of D ( H D n ) by generators with relations. Moreover, we give the comultiplication Δ D , counit ε D and the antipode S D , respectively.

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Bibliographic Details
Published in:Czechoslovak mathematical journal 2023-12, Vol.73 (4), p.1319-1331
Main Authors: Sun, Hua, Li, Yueming
Format: Article
Language:English
Subjects:
Algebra
Analysis
Convex and Discrete Geometry
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
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Summary:We construct a class of quantum doubles D ( H D n ) of pointed Hopf algebras of rank one H D . We describe the algebra structures of D ( H D n ) by generators with relations. Moreover, we give the comultiplication Δ D , counit ε D and the antipode S D , respectively.
ISSN:0011-4642
1572-9141
DOI:10.21136/CMJ.2023.0015-23