Direct Construction of Grassmann, Clifford and Geometric Algebras
Algebraic Geometry
2010-11-17 v1
Abstract
This is a simple way rigorously to construct Grassmann, Clifford and Geometric Algebras, allowing degenerate bilinear forms, infinite dimension, using fields or certain modules (characteristic 2 with limitation) - and characterize the algebras in a coordinate free form. The construction is done in an orthogonal basis, and the algebras characterized by universality. The basic properties with short proofs provides a clear foundation for further development of the algebras.
Keywords
Cite
@article{arxiv.1011.3698,
title = {Direct Construction of Grassmann, Clifford and Geometric Algebras},
author = {Allan Cortzen},
journal= {arXiv preprint arXiv:1011.3698},
year = {2010}
}