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Derivation · draft

Representations of the Lorentz Group

D-371 Home PU-402 Threads symmetry · matter · fields Depends on lie-algebra-generators-structure-constants, minkowski-metric-signature
Statement

Decomposing so(1,3)≅su(2)⊕su(2) classifies fields as (j₁,j₂) representations, delivering scalars, Weyl/Dirac spinors, and vectors as the building blocks of Lorentz-covariant Lagrangians.

Depends on

lie-algebra-generators-structure-constants, minkowski-metric-signature

Used by

PU-402/L09 PU-402/L10