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An AGL (d,Z)-invariant (which is a partially ordered commutative algebra) is obtained for lattice polytopes (compact convex polytopes in Euclidean space whose vertices lie in Zd), and certain algebraic properties of the algebra are related to geometric properties of the polytope.
Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem, 1987th Edition
$44.12
- Paperback
138 pages
- Release Date
6 October 1987
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Summary
Emanating from the theory of C*-algebras and actions of tori theoren, the problems discussed here are outgrowths of random walk problems on lattices. An AGL (d,Z)-invariant (which is a partially ordered commutative algebra) is obtained for lattice polytopes (compact convex polytopes in Euclidean space whose vertices lie in Zd), and certain algebraic properties of the algebra are related to geometric properties of the polytope. There are also strong connections with convex analysis, Choquet th…
Book Details
| ISBN-13: | 9783540184003 |
|---|---|
| ISBN-10: | 3540184007 |
| Author: | David E. Handelman |
| Publisher: | Springer-Verlag Berlin and Heidelberg GmbH & Co. KG |
| Imprint: | Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Format: | Paperback |
| Number of Pages: | 138 |
| Edition: | 1987th |
| Release Date: | 6 October 1987 |
| Weight: | 490g |
| Dimensions: | 235mm x 155mm |
| Series: | Lecture Notes in Mathematics |
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