Lorentz Group
In physics (and mathematics), the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime, the classical setting for all (nongravitational) physical phenomena. The Lorentz group is named for the Dutch physicist Hendrik Lorentz.
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Some articles on lorentz group:
Lorentz Group - General Dimensions
... The concept of the Lorentz group has a natural generalization to any spacetime dimension ... Mathematically, the Lorentz group of n+1 dimensional Minkowski space is the group O(n,1) (or O(1,n)) of linear transformations of Rn+1 which preserve the ... For instance, the Lorentz group O(n,1) has four connected components, and it acts by conformal transformations on the celestial (n−1)-sphere in n+1 dimensional ...
... The concept of the Lorentz group has a natural generalization to any spacetime dimension ... Mathematically, the Lorentz group of n+1 dimensional Minkowski space is the group O(n,1) (or O(1,n)) of linear transformations of Rn+1 which preserve the ... For instance, the Lorentz group O(n,1) has four connected components, and it acts by conformal transformations on the celestial (n−1)-sphere in n+1 dimensional ...
Non-critical String Theory: Lorentz Invariance
... It represents a universal method to maintain explicit Lorentz invariance in any quantum relativistic theory ... Lorentz transformations change the position of the world sheet with respect to these fixed planes, and they are followed by reparametrizations of the world sheet ... the quantum level the reparametrization group has anomaly, which appears also in Lorentz group and violates Lorentz invariance of the theory ...
... It represents a universal method to maintain explicit Lorentz invariance in any quantum relativistic theory ... Lorentz transformations change the position of the world sheet with respect to these fixed planes, and they are followed by reparametrizations of the world sheet ... the quantum level the reparametrization group has anomaly, which appears also in Lorentz group and violates Lorentz invariance of the theory ...
Higher-dimensional Supergravity - Counting Gravitinos
... and the vector representation of the Lorentz group ... While there is only one vector representation for each Lorentz group, in general there are several different spinorial representations ... Technically these are really representations of the double cover of the Lorentz group called a spin group ...
... and the vector representation of the Lorentz group ... While there is only one vector representation for each Lorentz group, in general there are several different spinorial representations ... Technically these are really representations of the double cover of the Lorentz group called a spin group ...
Lorentz Invariance In Loop Quantum Gravity
... As such, it can be argued that LQG respects local Lorentz invariance ... Global Lorentz invariance is broken in LQG just like it is broken in general relativity (unless one is dealing with Minkowski spacetime, which is one particular solution of the Einstein ... has been much talk about possible local and global violations of Lorentz invariance beyond those expected in straightforward general relativity ...
... As such, it can be argued that LQG respects local Lorentz invariance ... Global Lorentz invariance is broken in LQG just like it is broken in general relativity (unless one is dealing with Minkowski spacetime, which is one particular solution of the Einstein ... has been much talk about possible local and global violations of Lorentz invariance beyond those expected in straightforward general relativity ...
Derivation of A Bispinor Representation - Introduction
... space of the (½,0)⊕ (0,½) representation of the Lorentz group ... Language and terminology is used as in Representation theory of the Lorentz group ... A representation of the Lie algebra so(31) of the Lorentz group O(31) will emerge among matrices that will be chosen as a basis (as a vector space) of the complex Clifford algebra over spacetime ...
... space of the (½,0)⊕ (0,½) representation of the Lorentz group ... Language and terminology is used as in Representation theory of the Lorentz group ... A representation of the Lie algebra so(31) of the Lorentz group O(31) will emerge among matrices that will be chosen as a basis (as a vector space) of the complex Clifford algebra over spacetime ...
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