Irreducibility of the Weyl Algebra in Loop Quantum Gravity

2006/08/11 by Christian Fleischhack · 2 citations
Physics and Astronomy · Mathematics · #Noncommutative and Quantum Gravity Theories #Black Holes and Theoretical Physics #Algebraic structures and combinatorial models #Loop quantum gravity #Physics #Irreducibility #Quantum gravity #Loop (graph theory) #Mathematical physics #Quantum #Spin foam #Theoretical physics #Quantum mechanics #Algebra over a field #Mathematics #Pure mathematics #Combinatorics

paper · doi:10.1103/physrevlett.97.061302

openalex publication_date 2006/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22

Abstract

The irreducibility of the standard Weyl algebra representation in loop quantum gravity is proven using a very short and direct argument.

Citations

• New Variables for Classical and Quantum Gravity
• Real Ashtekar Variables for Lorentzian Signature Space-times

Cited by

• Towards new background independent representations for loop quantum gravity
• Loop quantum gravity [wikipedia]