What question did this study set out to answer?

The aim is to classify real four-dimensional connected Lie groups and identify those that can be linearized.

March 29, 2026Journal of Lie theoryOpen Access

On the Classification of Real Four-Dimensional Lie Groups

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The aim is to classify real four-dimensional connected Lie groups and identify those that can be linearized.
Classification of connected Lie groups conducted
Linearizable groups identified
Matrix representations of Lie groups exhibited
Linearizable four-dimensional Lie groups identified
Matrix Lie groups corresponding to the classified groups presented

Implication

Classification identifies linearizable four-dimensional Lie groups and their matrix representations, indicating their structure.

Abstract

A classification of the real four-dimensional connected Lie groups is obtained.Those groups which are linearizable are identified; accompanying matrix Lie groups are exhibited.

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Cite This Study

Biggs et al. (2016) studied this question.

synapsesocial.com/papers/69c8c15ade0f0f753b39bd64 https://doi.org/10.5802/jolt.921

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Implication

Classification identifies linearizable four-dimensional Lie groups and their matrix representations, indicating their structure.

Abstract

A classification of the real four-dimensional connected Lie groups is obtained.Those groups which are linearizable are identified; accompanying matrix Lie groups are exhibited.

On the Classification of Real Four-Dimensional Lie Groups

Key Points

Implication

Abstract

Discussion

Cite This Study

On the Classification of Real Four-Dimensional Lie Groups

Key Points

Implication

Abstract

Discussion

Cite This Study

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