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XVII.—Invariant Matrices and the Geometry of Numbers
Published online by Cambridge University Press: 14 February 2012
Synopsis
With 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.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 64 , Issue 3 , 1957 , pp. 223 - 238
- Copyright
- Copyright © Royal Society of Edinburgh 1955