Title of the course: Clifford algebras and Spin groups
Instructor: Dr. Edvard Musaev
Institution: Max-Planck-Institute for Gravitational Physics
Dates: 11-18 September 2017
Prerequisites: Some basic knowledge of linear algebra, general impression about the.
Level: Graduate, advanced undergraduate
11 Sep.: Clifford algebras, definitions, classification
12 Sep.: Spinors, Spin group, double covering, Lorentz group
13 Sep.: Dirac spinors and their invariants, spinor bilinears,
14 Sep.: Majorana, Weyl, pseudo-Majorana, SU(2)-Majorana spinors, theorems of existence, classification
15 Sep.: Clifford algebras and supersymmetry. Algebra of supersymmetry in various dimensions, supermultiplets.
16 Sep.: Spinor bundle, spin-connection, Killing and parallel spinors