McKay quivers of small finite subgroups of GL(2,C)

Q: What type of study is this?

This is a Quantitative Study study.

José Luis Cisneros‐Molina; Meral Tosun

doi:10.48550/arxiv.2507.23171

July 31, 2025Open Access

McKay quivers of small finite subgroups of GL(2,C)

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Key Points

Explicit computations reveal distinct mckay quivers for small finite subgroups of gl(2,c), enhancing our understanding of their structure.
Utilizing character theory, the work draws parallels with the mckay quivers of finite subgroups of su(2), showcasing their interconnectedness.
Comparison with existing results, particularly those by Auslander and Reiten, highlights the unique combinatorial aspects of these quivers.
The findings emphasize the rich symmetry present within the quivers, opening avenues for further exploration in algebraic structures.

Implication

Analysis computes McKay quivers for finite subgroups of GL(2,C), suggesting deep symmetry patterns.

Abstract

We explicitly compute the McKay quivers of small finite subgroups of GL(2,C) relative to the natural representation, using character theory and the McKay quivers of finite subgroups of $SU(2)$. We present examples that shows the rich symmetry and combinatorial structure of these quivers. We compare our results with the MacKay quivers computed by Auslander and Reiten.

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Cite This Study

Cisneros‐Molina et al. (2025) studied this question.

synapsesocial.com/papers/68e7f0af2d7e30942762c9b5 https://doi.org/10.48550/arxiv.2507.23171

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McKay quivers of small finite subgroups of GL(2,C)

Key Points

Implication

Abstract

Discussion

Cite This Study

McKay quivers of small finite subgroups of GL(2,C)

Key Points

Implication

Abstract

Discussion

Cite This Study

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