Clifford Algebra, Geometric Algebra, and Applications

Clifford Algebra, Geometric Algebra, and Applications
by Douglas Lundholm, Lars Svensson

Publisher: arXiv 2009
Number of pages: 117

Description:
These are lecture notes for a course on the theory of Clifford algebras, with special emphasis on their wide range of applications in mathematics and physics. Clifford algebra is introduced both through a conventional tensor algebra construction with geometric applications in mind, as well as in an algebraically more general form which is well suited for combinatorics, and for defining and understanding the numerous products and operations of the algebra.