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

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

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

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...

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

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...

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

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

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...

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...

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...

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

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

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

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...

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

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...

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...

1937 about unitary representations of the inhomogeneous Lorentz group, or the Poincaré group. Wigner notes Ettore Majorana and Dirac used infinitesimal...

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...

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

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...

{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...

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,...

turn makes it possible to represent infinitesimal spatial rotations and Lorentz boosts. Spinors facilitate spacetime computations in general, and in particular...

unitary group of degree n, denoted U(n), is the group of n × n unitary matrices, with the group operation of matrix multiplication. The unitary group is a...

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