Positive polynomials, convex integral polytopes, and a random walk problem [electronic resource] / David E. Handelman.

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 sp...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Handelman, David, 1950-
Format: Electronic eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, ©1987.
Series:Lecture notes in mathematics (Springer-Verlag) ; 1282.
Subjects:
Table of Contents:
  • Definitions and notation
  • A random walk problem
  • Integral closure and cohen-macauleyness
  • Projective RK-modules are free
  • States on ideals
  • Factoriality and integral simplicity
  • Meet-irreducibile ideals in RK
  • Isomorphisms.