On braid statistics and noncommutative calculus

DOI10.1016/0034-4877(93)90046-HzbMath0811.58008OpenAlexW2008702527MaRDI QIDQ1340732

Władysław Marcinek

Publication date: 18 December 1994

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(93)90046-h

zbMATH Keywords

second quantizationnoncommutative differential calculusbraid statistics

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative topology (46L85) Noncommutative differential geometry (46L87)

Related Items

Categories and quantum statistics ⋮ On Wick algebras with braid relations ⋮ On communication relations for quons ⋮ Particles in singular magnetic field ⋮ Cartan pairs

Cites Work

• Multiparameter associative generalizations of canonical commutation relations and quantized planes
• Twisted second quantization
• The geometry of tensor calculus. I
• Differential calculi on quantum vector spaces with Hecke-type relations
• On unital braidings and quantization
• Multiparameter deformations of GL(N) and Jordan–Schwinger constructions
• Examples of braided groups and braided matrices
• Theq-difference operator, the quantum hyperplane, Hilbert spaces of analytic functions andq-oscillators
• Covariant differential calculus on the quantum hyperplane