What does this research mean for the field?

The Green ring of the small quantum group can be described by generators and relations. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The central aim is to explore the Green ring of small quantum groups related to specific roots of unity.

February 28, 2026Algebra Colloquium0 citations

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Green Rings of Small Quantum Groups

HSH. Sun YMYuan Meng HCHuixiang Chen

Key Points

The central aim is to explore the Green ring of small quantum groups related to specific roots of unity.
Investigated the structure of the Green ring of small quantum groups.
Utilized mathematical generators and relations to describe the rings.
Provided a detailed description of the generators of the Green rings.
Established relations among the generators in the context of small quantum groups.

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.

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Green Rings of Small Quantum Groups

Key Points

Abstract

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