Braid group representations from a deformation of the harmonic oscillator algebra

DOI10.1063/1.4966280zbMath1410.17017arXiv1610.04409OpenAlexW2535035489MaRDI QIDQ2836113

Marco Tarlini

Publication date: 7 December 2016

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

Full work available at URL: https://arxiv.org/abs/1610.04409

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Braid groups; Artin groups (20F36) Applications of Lie (super)algebras to physics, etc. (17B81)

Cites Work

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• The Lawrence-Krammer-Bigelow representations of the braid groups via \(U_q(\mathfrak{sl}_2)\).
• Ribbon graphs and their invariants derived from quantum groups
• The quantum Heisenberg group H(1)q
• Quantum harmonic oscillator algebra and link invariants
• Three-dimensional quantum groups from contractions of SU(2)q
• Braid Groups

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