Metabolic square space
In mathematics , metabolic square spaces are a term from algebra , more specifically from the theory of square forms .
definition
A square room is metabolically when a subspace with are,
Example: the hyperbolic plane
Be a body of characteristic . The square space with and (or equivalent ) is called the hyperbolic plane (not to be confused with the hyperbolic plane of hyperbolic geometry).
classification
Be a body of characteristic . Then every metabolic square space is a direct sum of hyperbolic levels.
literature
- John Milnor , Dale Husemöller : Symmetric bilinear forms . Springer, 1973. ISBN 3-540-06009-X