Examples of 'lorentz group' in a sentence
Meaning of "lorentz group"
lorentz group - in physics, a mathematical group that describes the symmetries of spacetime in the theory of special relativity
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- The group of all Lorentz transformations in spacetime.
How to use "lorentz group" in a sentence
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lorentz group
The full Lorentz group is no exception.
An important example of this is the inhomogeneous Lorentz group.
The Lorentz group is a Lie group of symmetries of the spacetime of special relativity.
The derivation of the irreducible representations of the Lorentz group.
The elements of the Lorentz group are rotations and boosts and mixes thereof.
This is one of the surfaces of transitivity of the generalized Lorentz group.
The Lorentz group defined in this way is a related Lie group.
To go further we must look for the invariants of the Lorentz group.
Restricted Lorentz group.
Further illustrations will be drawn from the representation theory of the Lorentz group below.
Homogeneous Lorentz group.
An excellent reference on Minkowski spacetime and the Lorentz group.
The Lorentz group has no non-trivial unitary representations of finite dimension.
The symmetry group of SR is the restricted Lorentz group.
For instance, the Lorentz group is a subgroup of the conformal group in four dimensions.
See also
Language and terminology is used as in Representation theory of the Lorentz group.
Inhomogeneous Lorentz group.
However, there are of course spinorial representations of the Lorentz group.
Orthochronous Lorentz group.
Thus, the Lorentz group is an isotropy subgroup of the isometry group of Minkowski spacetime.
Special Relativity and the Lorentz group.
It is the restricted Lorentz group of three-dimensional Minkowski space.
In a similar way, the set of all Lorentz transformations forms a group, called the Lorentz group.
Perhaps most importantly, the Lorentz group is not compact.
The full Poincaré group is the semi-direct product of translations with the Lorentz group.
Representations of the Lorentz group and of the Poincare group ; Wigner classification.
The four-dimensional matrices of Lorentz transformations compose the Lorentz group.
The Lorentz group is a 6-dimensional Lie group of linear isometries of the Minkowski space.
It is preserved by the action of the Lorentz group on Rn, 1.
The Lorentz group may be represented by 4 × 4 matrices Λ.
The isometry group of de Sitter space is the Lorentz group O1, n.
A canonical reference ; see chapters 1-6 for representations of the Lorentz group.
The vector ξ is called a spinor for the Lorentz group SO1, 2.
It has been solved for many particular groups, such as SL ( 2,R ) and the Lorentz group.
He pioneered understanding of the irreducible unitary representations of SL2 ( R ) and the Lorentz group 1947.
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