We show that the attempt to introduce all of the discrete space-time transformations into the spinor representation of the Lorentz group as wholly independent transformations (as in the vectorial representation) leads to an 8-component spinor representation in general. The first indications seem to...
special Lorentz groupYoung operator technique/ A0210 Algebra, set theory, and graph theoryThe Young operator technique is applied to the determination of the spinor equivalent of every irreducible tensor. Some cases of practical interest are discussed....
Spin and charge multiplets, based on the interlocking representations of the Lorentz group, are introduced. A central point of the work is a correspondence between Wigner definition of elementary particle as an irreducible representation of the Poincar茅 group and SU(3)-description (quark scheme) ...
The vectorial form of the q-Lorentz algebra (Wess), the quantum double form (Woronowicz), and the dual of the q-Lorentz group (Majid) are shown to be essentially isomorphic. The construction of q-Minkowski space and the q-... C Blohmann - 《Mathematics》 被引量: 14发表: 2001年 The...
representationoftheLorentz group.Aso-definedalgebraicstructureallowsonetoapplymodulo8periodicityofClifford algebrasonthesystemofrealandquaternionicrepresentationsoftheLorentzgroup.Itis shownthatmodulo8periodicactionoftheBrauer-Wallgroupgeneratesmodulo2periodic relationsonthesystemofrepresentations,andallthetotalityof...
A quantity with four complex components which transforms linearly under a Lorentz transformation in such a way that if it is a solution of the Dirac equation in the original Lorentz frame it remains a solution of the Dirac equation in the transformed frame; it is formed from two spinors (defi...
The following sections are included:THE GROUPSL(2, C)AND THE LORENTZ GROUPThe GroupSL(2, C)Homomorphism of the GroupSL(2, C)on the GroupLKernel of HomomorphismSubgroups of the GroupSL(2, C)Connection with Lobachevskian MotionSPINOR REPRESENTATION OF THE GROUPSL(2, C)Spinor Representation...
Studies In History and Philosophy of Science Part B: Studies In History and Philosophy of Modern PhysicsKarakostas, V. (1997) &The Conventionality of Simultaneity in the Light of the Spinor Representation of the Lorentz Group', Studies in History and Philosophy of Modern Physics 28, 249}276....
By exploring a spinor space whose elements carry a spin 1/2 representation of the Lorentz group and satisfy the the Fierz-Pauli-Kofink identities we show that certain symmetries operations form a Lie group. Moreover, we discuss the reflex of the Dirac dynamics in the spinor space. In ...
The super-Poincare algebra of the generators belonging to the irreducible (1, 1/2) + (1/2, 1) representation of the Lorentz group is constructed. It is shown that the nonlinear realizations of the vector spinor superalgebra lead to a goldstone fermion carrying spin −3/2. A ...