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http://hdl.handle.net/1942/49116| Title: | Representations of the Drinfeld doubles of Pointed rank one Hopf algebras | Authors: | SUN, Hua Chen, Huixiang ZHANG, Yinhuo |
Issue Date: | 2026 | Publisher: | Source: | Journal of algebra, 701 , p. 616 -654 | Abstract: | In this paper, we investigate the representations of the Drinfeld doubles of pointed rank one Hopf algebras over an algebraically closed field k of characteristic zero. We provide a complete classification of all finite-dimensional indecomposable D(H_D)-modules up to isomorphism and explicitly describe the Auslander-Reiten sequences in the category of finite-dimensional D(H_D)-modules. We show that D(H_D) is of tame representation type. | Keywords: | Drinfeld double;Pointed Hopf algebra;Representation;Indecomposable module;Auslander-Reiten sequence | Document URI: | http://hdl.handle.net/1942/49116 | ISSN: | 0021-8693 | e-ISSN: | 1090-266X | DOI: | 10.1016/j.jalgebra.2026.04.025 | ISI #: | WOS:001759870600001 | Category: | A1 | Type: | Journal Contribution |
| Appears in Collections: | Research publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Representations of the Drinfeld double of rank one pointed Hopf algebras.pdf Restricted Access | Published version | 1.4 MB | Adobe PDF | View/Open Request a copy |
| classfication2.pdf Until 2027-09-01 | Peer-reviewed author version | 453.25 kB | Adobe PDF | View/Open Request a copy |
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