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This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
lorentz_group_to_symmetry
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
Lorentz group action
Authored explanation
Lorentz symmetry is mathematically represented by the Lorentz group.
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.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
math_lorentz_group_to_poincare_group
Relation type
Canonical construction canonical-construction
Direction
source → target
Endpoint roles
source: Canonically constructs; target: Canonically constructed from
Authored annotation
form translations semidirect Lorentz transformations
Authored explanation
For a fixed Minkowski vector space, the Poincaré group is the semidirect product of spacetime translations with the Lorentz group.
How to interpret this relation type
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.