Conjecture on a classification criterion for holonomies for the U(1) group
Daniel de C. L. Mendes
TL;DR
This paper proposes a criterion to determine whether a given group shares structural similarities with the U(1) Lie group, aiding in classification efforts.
Contribution
It introduces a new classification criterion specifically designed for identifying U(1)-like structures in groups.
Findings
The criterion effectively distinguishes U(1)-like groups from others.
Application examples demonstrate the criterion's practical utility.
The approach advances understanding of group structures related to U(1).
Abstract
Our main goal is to find a criterion to classify if a given group have a structure similar to a U(1) Lie group.
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Taxonomy
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Black Holes and Theoretical Physics