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Research Article | Open Access

The representation ring of a non-pointed bialgebra

Huaqing Gong, Shilin Yang( )
School of Mathematical, Statistics and Mechanics, Beijing University of Technology, Beijing 100124, China
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Abstract

The aim of this paper is to characterize the representation ring of a non-pointed and noncocommutative bialgebra. First, the isomorphism classes of its indecomposable modules are classified. Then the tensor product of modules is established. Finally, its representation ring is described.

Keywords

bialgebrabound quiverrepresentation ring
CLC number: 16D70, 16G60, 16G70, 16T05

References

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AIMS Mathematics
Volume 10 Issue 3,
March 2025
Pages 5110-5123
DOI: 10.3934/math.2025234

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Gong H, Yang S. The representation ring of a non-pointed bialgebra. AIMS Mathematics, 2025, 10(3): 5110-5123. https://doi.org/10.3934/math.2025234

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Received: 18 November 2024
Revised: 22 February 2025
Accepted: 28 February 2025
Published: 15 March 2025
©2025 the Author(s), licensee AIMS Press.

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