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Special unitary group

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Summary

The compact Lie group SU(n)SU(n) of unitary matrices with determinant one.

Record metadata

Carrier(s)

Data

Axioms / constraints

Canonically induces

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Compact Lie groupSpecial unitary group

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

The special unitary groups are compact matrix Lie groups.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Special unitary groupStandard Model gauge group

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Special unitary groups supply the weak-isospin and color gauge factors.

How to interpret this relation type

A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.

Relation sources

Special unitary groupYang–Mills theory

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Important Yang–Mills theories use SU(n)SU(n) gauge groups.

How to interpret this relation type

A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.

Relation sources