This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartan s famous triality automorphism for the group Spin(8). The discussion of enveloping algebras includes a presentation of Petracci s proof of the Poincare Birkhoff Witt theorem.

This is followed by discussions of Weil algebras,...