Abstract Geometric Algebra. Orthogonal and Symplectic Geometries

Details Abstract Geometric Algebra. Orthogonal and Symplectic Geometries Abstract Geometric Algebra. Orthogonal and Symplectic Geometries

2008-10-18

arxiv.org/abs/0810.3299v1

Mathematics

Symplectic Geometry

24 pages

Scientific paper

Our main interest in this paper is chiefly concerned with the conditions
characterizing \textit{orthogonal and symplectic abstract differential
geometries}. A detailed account about the sheaf-theoretic version of the
\textit{symplectic Gram-Schmidt theorem} and of the \textit{Witt's theorem} is
also given.

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