In physics and mathematics, the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime, the classical and quantum setting for...

together make the Lorentz group (see also Lorentz invariance); the semi-direct product of the spacetime translations group and the Lorentz group then produce...

In physics, the Lorentz transformations are a six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that...

In relativistic physics, Lorentz symmetry or Lorentz invariance, named after the Dutch physicist Hendrik Lorentz, is an equivalence of observation or...

The Lorentz group is a Lie group of symmetries of the spacetime of special relativity. This group can be realized as a collection of matrices, linear...

connected to the Lorentz transformation of special relativity, and it turns out that the conformal group of spacetime includes the Lorentz group and the Poincaré...

group up to dimension 8". Annales de l'Institut Henri Poincaré A. 40 (1): 35–57. Wigner's classification Representation theory of the Lorentz group Representation...

of Lorentz Group" (PDF). Archived from the original (PDF) on 2018-11-23. Retrieved 2013-07-07. Maciejko, Joseph (2007). "Representations of Lorentz and...

and group theory. This article provides a few of the easier ones to follow in the context of special relativity, for the simplest case of a Lorentz boost...

Hendrik Antoon Lorentz ForMemRS (/ˈlɒrənts/; 18 July 1853 – 4 February 1928) was a Dutch physicist who shared the 1902 Nobel Prize in Physics with Pieter...

spectrometer. The search was unsuccessful with an upper limit of 5×10−6. The Lorentz group has no non-trivial unitary representations of finite dimension. Thus...

of Lorentz transformations comprises the development of linear transformations forming the Lorentz group or Poincaré group preserving the Lorentz interval...

Poincaré group is the affine group associated to the Lorentz group, O(1, 3, F) ⋉ Fn. The general semilinear group ΓL(n, F) is the group of all invertible semilinear...

mechanics. The Lorentz group is a 6-dimensional Lie group of linear isometries of the Minkowski space. The Poincaré group is a 10-dimensional Lie group of affine...

equations is Lorentz group theory, wherein the spin of the particle has a correspondence with the representations of the Lorentz group. The failure of...

transform in a certain "spinorial" fashion under the action of the Lorentz group, which describes the symmetries of Minkowski spacetime. They occur in...

of the Lorentz group acts on the celestial sphere in the same way that the Möbius group acts on the Riemann sphere. In fact, these two groups are isomorphic...

operators, and relates them to the Lie groups, and relativistic transformations in the Lorentz group and Poincaré group. The notational conventions used in...

hyperbolic rotations, just as the group SO(2) can be interpreted as circular rotations. In physics, the Lorentz group O(1,3) is of central importance,...

specifically, a bispinor that transforms "spinorially" under the action of the Lorentz group. Dirac spinors are important and interesting in numerous ways. Foremost...

matrices inside the Dirac algebra. The Lorentz group may be represented by 4×4 matrices Λ. The action of a Lorentz transformation on a general contravariant...

own rest frame. It is also known as Lorentz contraction or Lorentz–FitzGerald contraction (after Hendrik Lorentz and George Francis FitzGerald) and is...

quasi-sphere of the biquaternions provides a representation of the Lorentz group, which is the foundation of special relativity. The algebra of biquaternions...

instance, the Lorentz group is a subgroup of the conformal group in four dimensions.: 41–42  The Lorentz group is isomorphic to the Laguerre group transforming...

representations of the Lorentz algebra as representations of the Lorentz group, even if they do not arise as representations of the Lorentz group. The representation...

of the Lorentz group, which are defined as, where Mμν are constant (2j1+1)(2j2+1) × (2j1+1)(2j2+1) matrices defining the elements of the Lorentz algebra...

physics, Lorentz invariance states that the laws of physics should remain unchanged under Lorentz transformation. In quantum gravity, Lorentz invariance...

{C} )} is related to the Lorentz transform by means of the double covering of the Lorentz group by the special linear group S L ( 2 , C ) {\displaystyle...

set of all Lorentz transformations form a group called the Lorentz group (this may be generalised to the Poincaré group). Discrete groups describe discrete...

relativity, viz., the Poincaré group, also called the inhomogeneous Lorentz group, which is a ten-dimensional group of three Lorentz boosts, three rotations...