The Algebra & Geometry of Modern Physics
sala 2.23, ul. Pasteura 5
2014-11-20 (16:15) 
Rafał R. Suszek (KMMF WFUW)
Introduction to Clifford algebras V : Enter the spinor
The aim of the talk is to formulate an algebraic concept of a spinor associated with a given quadratic space and its Clifford algebra. To this end, representations of a Clifford algebra will be introduced, the Clifford group and its Pin and Spin subgroups will be defined and related to the orthogonal group of the quadratic space. Finally, the spin representation of the Clifford algebra will be constructed, and — time permitting — its distinguished place in the representation theory of the Clifford algebra will be indicated.