Abstract
SynopsisWith every matrix representation of the (real) full linear group can be associated a multi-linear mapping of one affine space, Rn, into another, RN. This mapping is studied from the viewpoint of the geometry of numbers of convex bodies, and a general arithmetical property of such mappings is proved. The result generalizes my recent work on compound convex bodies.
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More From: Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences
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