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http://hdl.handle.net/1942/16165| Title: | The Green rings of Taft algebras | Authors: | Chen, Huixiang Van Oystaeyen, Fred ZHANG, Yinhuo |
Issue Date: | 2014 | Source: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 142 (3), p. 765-775 | Abstract: | We compute the Green ring of the Taft algebra $H_n(q)$, where $n$ is a positive integer greater than 1, and $q$ is an $n$-th root of unity. It turns out that the Green ring $r(H_n(q))$ of the Taft algebra $H_n(q)$ is a commutative ring generated by two elements subject to certain relations defined recursively. Concrete examples for $n=2,3, ... , 8$ are given. | Notes: | [Chen, Huixiang] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China. [Van Oystaeyen, Fred] Univ Antwerp, Dept Math & Comp Sci, B-2020 Antwerp, Belgium. [Zhang, Yinhuo] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium. | Keywords: | Green ring; Grothendieck ring; Taft algebra | Document URI: | http://hdl.handle.net/1942/16165 | Link to publication/dataset: | http://www.ams.org/journals/proc/2014-142-03/S0002-9939-2013-11823-X/S0002-9939-2013-11823-X.pdf | ISSN: | 0002-9939 | e-ISSN: | 1088-6826 | ISI #: | 000329787300004 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2015 |
| Appears in Collections: | Research publications |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| The Green rings of Taft algebras.pdf | Published version | 192.7 kB | Adobe PDF | View/Open |
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