Riordan trees and the homotopy \(sl_{2}\) weight system

DOI10.1016/j.jpaa.2016.07.012zbMath1357.57038arXiv1507.04454OpenAlexW2963201423MaRDI QIDQ338240

Sakie Suzuki, Jean-Baptiste Meilhan

Publication date: 4 November 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04454

zbMATH Keywords

treequantum algebradual canonical basishomotopy weight systemJacobi diagram

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items

The universal sl2 invariant and Milnor invariants

Cites Work

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• Ferromagnetic ordering of energy levels for \(\mathrm{U}_q(\mathfrak{sl}_2)\) symmetric spin chains
• Catalan, Motzkin, and Riordan numbers
• Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\)
• The Kontsevich integral and Milnor's invariants
• Spiders for rank 2 Lie algebras
• Remarks on the Vassiliev knot invariants coming from \(sl_ 2\)
• The universal sl2 invariant and Milnor invariants
• INVARIANT TENSORS AND DIAGRAMS