Quantum Field Theory: Lorentz and Poincaré Groups Representations

This lecture covers the (0,1/2) and (1/2,0) representations of the Lorentz group starting from the spin-1/2 representations of SU(2). It also explores the representation of the Poincaré group on scalar functions and the Poincaré algebra. Additionally, it delves into the Poincaré algebra on fields and the Lorentz invariance of Lagrangians.