Particles and quantum symmetries

DOI10.1016/S0034-4877(99)80031-7zbMath0939.16023arXivmath/9805122OpenAlexW2046480581MaRDI QIDQ1305717

Władysław Marcinek

Publication date: 5 July 2000

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

Full work available at URL: https://arxiv.org/abs/math/9805122

zbMATH Keywords

fractional quantum Hall effectquantum symmetriescoactionsactionsPauli principlecoquasitriangular Hopf algebrasinteger quantum Hall effectquantum commutativityfilling factors

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

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• Generalized Lie algebras
• Particles in singular magnetic field
• On Wick algebras with additional twisted commutation relations
• Noncommutative geometry for arbitrary braidings
• Gauge theory on a non-simply connected domain and representations of canonical commutation relations
• On Wick algebras with braid relations

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