The Clifford algebra and its Spin subgroup
Summary
This thesis gives an introduction to the Clifford algebra and its Spin subgroup. We first construct the
Clifford algebra before using the spinorial representation to proof its (semi)simplicity. We then construct
the Spin group and determine its irreducible representations using weight theory. The reader is expected
to have prior knowledge about rings and representations of groups, but all required theory will be recalled
in the preliminaries.