Spinorial Representations of Lorentz Group

This lecture delves into the spinorial representations of the Lorentz group, distinct from the unitary infinite dimensional representations of the Poincare group. The discussion covers the generators of the Lorentz group, labeled by pairs of integers, and the transformation of fields under Lorentz transformations. The lecture explores the construction of representations using Pauli matrices and the philosophy of a constructive approach towards spinors. It also touches upon the properties of the Lambdas, the left and right spinners, and the transformation of spinors under Lorentz. The lecture concludes with a discussion on the Levy-Civitta matrix, epsilon, and the equivalence of different representations under Lorentz transformations.