Invariant Measure Under the Affine Group Over

DOI10.1017/S096354831300062XzbMath1298.52016OpenAlexW2044075976MaRDI QIDQ5410257

Daniele Mundici

Publication date: 16 April 2014

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s096354831300062x

zbMATH Keywords

valuationrational polyhedraequidissectability\(\mathbb Z\)-homomorphismunimodular invariant

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Other matrix groups over rings (20H25) Length, area and volume in real or complex geometry (51M25) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (5)

Classifying GL\((n,\mathbb{Z})\)-orbits of points and rational subspaces ⋮ Idempotent endomorphisms of free MV-algebras and unital \(\ell\)-groups ⋮ Polyhedral MV-algebras ⋮ Classifying orbits of the affine group over the integers ⋮ A Geometric Approach to MV-Algebras

Cites Work

• Unnamed Item
• Unnamed Item
• On invariant measures, minimal sets and a lemma of Margulis
• Revisiting the Farey AF algebra
• Finite axiomatizability in Łukasiewicz logic
• The Haar theorem for lattice-ordered abelian groups with order-unit
• Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras
• Schauder bases in Banach spaces of continuous functions
• Denominator-preserving maps
• Lectures on polyhedral topology
• BIRATIONAL GEOMETRY OF TORIC 3-FOLDS
• An AF Algebra Associated with the Farey Tessellation
• Decomposition of Birational Toric Maps in Blow-Ups and Blow-Downs

This page was built for publication: Invariant Measure Under the Affine Group Over