Geometric (Clifford) algebra a practical tool for efficient geometric representation
Geometric (Clifford) algebra a practical tool for efficient geometric representation
Geometric (Clifford) algebra a practical tool for efficient geometric representation
This note explans the following topics: Vector space Vn over scalars such
as IR, The clifford geometric products, Inner and outer products, Bivectors in
the standard model, Bivectors in the homogeneous model, Perpendicularity,
Reflection through communication, Duality and subspace representation.
This thesis is an investigation into the
properties and applications of Clifford’s geometric algebra. Topics covered
includes: Grassmann Algebra and Berezin Calculus, Lie Groups and Spin Groups,
Spinor Algebra, Point-particle Lagrangians, Field Theory, Gravity as a Gauge
Theory.
Author(s): Chris
J. L. Doran, Sidney Sussex College
This note explans the following topics: Vector space Vn over scalars such
as IR, The clifford geometric products, Inner and outer products, Bivectors in
the standard model, Bivectors in the homogeneous model, Perpendicularity,
Reflection through communication, Duality and subspace representation.