Green Rings of Small Quantum Groups

In this article, we investigate the Green ring of the small quantum group [Formula: see text], where [Formula: see text] is a root of unity of order [Formula: see text] and [Formula: see text] is even. We describe the structures of the Green rings by generators with relations.

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Publication Details

Journal
Algebra Colloquium
Published
2026-02-27
DOI
https://doi.org/10.1142/s1005386726000118
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
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article

Green Rings of Small Quantum Groups

Yuan Meng, H. Sun, Huixiang Chen
Algebra Colloquium
Algebraic structures and combinatorial models
article

Green Rings of Small Quantum Groups

Yuan Meng, H. Sun, Huixiang Chen
article en

Abstract

In this article, we investigate the Green ring of the small quantum group [Formula: see text], where [Formula: see text] is a root of unity of order [Formula: see text] and [Formula: see text] is even. We describe the structures of the Green rings by generators with relations.

Algebra ColloquiumVol. 33(01)
Yangzhou University (CN)
Openalex Percentile: Top 37%
Algebraic structures and combinatorial models
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Green Rings of Small Quantum Groups — Yuan Meng, H. Sun, et al. · Algebra Colloquium (2026) | TGRS Research Map | TGRS