Direct Construction of Grassmann, Clifford and Geometric Algebras

Details Direct Construction of Grassmann, Clifford and Geometric Algebras Direct Construction of Grassmann, Clifford and Geometric Algebras

2010-11-16

arxiv.org/abs/1011.3698v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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