An abstract approach to algebras of braids and ties

2025/11/25 by Fasano, Riccardo, Fiorenza, Domenico, Papi, Paolo
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2511.20173

Abstract

Generalizing work of Marin [12], we construct in a unified way all the "braids and ties'' algebras available in literature and new ones.

Citations

• Framization and Deframization
• Two parameters bt-algebra and invariants for links and tied links
• An algebra involving braids and ties
• Lattice extensions of Hecke algebras
• Artin groups and Yokonuma-Hecke algebras
• Tied Links
• Markov trace on the algebra of braids and ties
• The generic representation theory of the Juyumaya algebra of braids and\n ties
• On the Representation Theory of an Algebra of Braids and Ties
• Braid pictures for Artin groups

Related

• An algebra involving braids and ties
• Tied Links
• Braiding for categorical algebras and crossed modules of algebras I:\n Associative and Lie algebras
• The generic representation theory of the Juyumaya algebra of braids and\n ties
• Braiding for categorical algebras and crossed modules of algebras II:\n Leibniz algebras