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Research Article | Open Access

Projective class rings of the category of Yetter-Drinfeld modules over the 2-rank Taft algebra

Yaguo Guo, Shilin Yang( )
Faculty of Science, Beijing University of Technology, Beijing 100124, China
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Abstract

In this paper, all simple Yetter-Drinfeld modules and indecomposable projective Yetter-Drinfeld modules over the 2-rank Taft algebra A ¯ are construted and classified by Radford's method of constructing Yetter-Drinfeld modules over a Hopf algebra. Furthermore, the projective class ring of the category of Yetter-Drinfeld modules over A ¯ is described explicitly by generators and relations.

Keywords

Yetter-Drinfeld moduletensor productthe projective class ring

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Electronic Research Archive
Volume 31 Issue 8,
August 2023
Pages 5006-5024
DOI: 10.3934/era.2023256

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Cite this article:
Guo Y, Yang S. Projective class rings of the category of Yetter-Drinfeld modules over the 2-rank Taft algebra. Electronic Research Archive, 2023, 31(8): 5006-5024. https://doi.org/10.3934/era.2023256

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Received: 18 March 2023
Revised: 30 June 2023
Accepted: 05 July 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)