Symmetry groups and non-abelian cohomology

DOI10.1007/BF02278008zbMath0749.46041OpenAlexW2005726364MaRDI QIDQ1813574

R. F. Streater

Publication date: 25 June 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02278008

zbMATH Keywords

spin algebrasalgebra of observablesreducible representationcontinuous tensor products2- cohomologyimplementation of symmetry groups of automorphismsnon-abelian cocycle relation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantization in field theory; cohomological methods (81T70) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Applications of selfadjoint operator algebras to physics (46L60) Tensor products in functional analysis (46M05)

Related Items (3)

Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory ⋮ Anomaly meltdown ⋮ Extension of covariant POV-measures in von Neumann algebras

Cites Work

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• Cohomology of groups relative to a variety
• The representations of the oscillator group
• Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space
• Cohomology theory in abstract groups. I
• On unitary ray representations of continuous groups
• Note on Wigner's Theorem on Symmetry Operations
• Theory of Superconductivity

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