Symmetry and Grassmann numbers
Particle Physics 3: Supersymmetry and Grand Unification (Spring, 2010)
Lecture Playlist

Renormalization concepts, and dimensional analysis

Fermions and bosons

Propagators and renormalization of mass

Symmetry and Grassmann numbers

A first supersymmetric model

Supersymmetry building blocks

Lagrangians that preserve supersymmetry

Generalizing supersymmetry to 3+1 spacetime, and QFT

Supersymmetry breaking and an introduction to grand unified theories

GUTs, the SU(5) representation, proton decay
April 19, 2010
Professor Susskind reviews the mathematical concepts of symmetry in preparation for the development of supersymmetry. Then he introduces the mathematical concept of Grassmann numbers, which are used in the description of fermionic fields.
Topics:
 Continuous symmetries and generators (Lie algebra)
 Grassmann numbers (anticommuting numbers)