On Unitary Representations of the Inhomogeneous Lorentz Group

Wigner, E. P. (1939). On Unitary Representations of the Inhomogeneous Lorentz Group. Annals of Mathematics, 40(1), 149-204.

Type

Journal article

Intellectual base

Primary research

Year

1939

Volume

40

Issue

1

Pages

149-204

DOI

10.2307/1968551

DOI registrant

JSTOR

Link

https://doi.org/10.2307/1968551

Cited from

physics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Conservation Laws
  • Wigner's representation-theoretic analysis

    This sourceClassifies the unitary representations of the Poincaré group, showing how relativistic conservation laws (energy, momentum, angular momentum, boost) emerge from spacetime symmetry; supports the prime's local-vs-global tension discussion.

• Noether's Theorem
  • Wigner's representation theory of the Poincaré group (1939)

    This sourceDevelops representation theory of the Poincaré group; shows how relativistic conservation laws (energy, momentum, angular momentum, boost invariance) emerge from the symmetry structure of spacetime; foundational for relativistic quantum field theory.

Domain-specific

• Wigner rotation
  • … two boost velocities or rapidities and order, Lorentz matrices, product factorization, rotation axis and angle, limiting nonrelativistic form and relation to Thomas precession are explicit. to An applied instance preserves the invariant under changed notation, scale, dataset, jurisdiction, or implementation..

Verification

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