Anyons associated with the generalized braid groups

DOI10.1007/BF00762797zbMath0826.22025OpenAlexW2041096993MaRDI QIDQ1334974

Takashi Yamamoto

Publication date: 26 September 1994

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

Full work available at URL: https://doi.org/10.1007/bf00762797

zbMATH Keywords

quantizationCoxeter grouporbit spaceanyon-like objectsgeneralized braid group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Applications of Lie groups to the sciences; explicit representations (22E70) Geometry and quantization, symplectic methods (81S10)

Related Items

Nonabelian statistics for Calogero-Sutherland systems of particles., Anyons from three-body hard-core interactions in one dimension

Cites Work

• Factorizing particles on a half-line and root systems
• Combinatorics and topology of complements of hyperplanes
• Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe
• INTRODUCTION TO THE YANG-BAXTER EQUATION
• Constant solutions of reflection equations and quantum groups
• Boundary conditions for integrable quantum systems
• Abstract Groups of the Form V ₁ ^k = V _i ³ = (V _i V _i )² = 1
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