Geometric Algebra as a coordinate free formalism for inner product spaces
OKC/Nordita High-Energy Physics Theory seminar
Monday 14 September 2015
to 14:15 at
Timo Alho (University of Iceland)
Geometric Algebra is the mathematical system defined by
imbuing the vectors of an inner product space directly with the Clifford
algebra generated by the inner product, without considering a separate
representation of the algebra operating on the vectors. This simple
change in point of view gives a system which generalizes exterior
algebra, quaternions, spinors, and many other algebras used in
theoretical physics, while simplifying both concepts and calculations.
In this talk, we will mostly introduce the algebra, and it's extension
to geometric calculus, before commenting on it's implications for
physics and briefly mentioning our own work in the field.