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XVII.—Invariant Matrices and the Geometry of Numbers

Published online by Cambridge University Press:  14 February 2012

K. Mahler
K. Mahler
Affiliation:
Department of Mathematics, Manchester University.
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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

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References

References to Literature

John, F., 1948. “Extremum problems with inequalities as subsidiary conditions”, Courant Anniversary Volume, 187–204.Google Scholar
Mahler, K., 1955. “On compound convex bodies (I)”, Proc. Lond. Math, Soc., (3), 5, 358–379.CrossRefGoogle Scholar