Group theory for the standard model of particle physics and beyond Symmetries and conservation laws Quantum angular momentum Tensors and tensor operators Special relativity and the physical particle states The internal symmetries Lie group techniques for the standard model Lie groups Noethers theorem and gauge theories of the first and second kinds Basic couplings of the electromagnetic weak and strong interactions Spontaneous symmetry breaking and the unification of the electromagnetic and weak forces The Goldstone theorem and the consequent emergence of nonlinearly transforming massless Goldstone bosons The Higgs mechanism and the emergence of mass from spontaneously broken symmetries Lie group techniques for beyond the standard model Lie groups The simple sphere Beyond the standard model.