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A class of quantum doubles of pointed Hopf algebras of rank one
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 4, pp. 1319-1331
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We construct a class of quantum doubles $D(H_{D_n})$ of pointed Hopf algebras of rank one $H_{\mathcal {D}}$. We describe the algebra structures of $D(H_{D_n})$ by generators with relations. Moreover, we give the comultiplication $\Delta _{D}$, counit $\varepsilon _D$ and the antipode $S_{D}$, respectively.
We construct a class of quantum doubles $D(H_{D_n})$ of pointed Hopf algebras of rank one $H_{\mathcal {D}}$. We describe the algebra structures of $D(H_{D_n})$ by generators with relations. Moreover, we give the comultiplication $\Delta _{D}$, counit $\varepsilon _D$ and the antipode $S_{D}$, respectively.
DOI : 10.21136/CMJ.2023.0015-23
Classification : 16G30, 16T05
Keywords: pointed Hopf algebra; quantum double; rank one 
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Sun, Hua; Li, Yueming. A class of quantum doubles of pointed Hopf algebras of rank one. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 4, pp. 1319-1331. doi: 10.21136/CMJ.2023.0015-23

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