Search results for "Representation theory of the Poincaré group"

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A remark on conjectures in modular representation theory

1987

AlgebraFaithful representationModular representation theoryRepresentation theory of the symmetric groupGeneral MathematicsRestricted representationTrivial representationRepresentation theory of the Poincaré groupReal representationRepresentation theory of finite groupsMathematicsArchiv der Mathematik
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Fermion Fields and Their Properties

2011

The fundamental building blocks of matter, i.e. quarks and leptons, carry spin 1/2. There are two formally different but in essence equivalent methods of describing particles with spin: The representation theory of the Poincare group, in the framework of Wigner’s classification hypothesis of particles (see e.g. [QP07], Chap. 6), and the Van der Waerden spinor calculus based on SL(2, \(\mathbb{C}\)).

Physicssymbols.namesakeFermion doublingSpinorHelical Dirac fermionDirac equationsymbolsVan der Waerden's theoremFermionRepresentation theory of the Poincaré groupSpin-½Mathematical physics
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