An abstract approach to algebras of braids and ties

Riccardo Fasano; Domenico Fiorenza; Paolo Papi

doi:10.1007/s00209-026-04076-7

July 17, 2026Mathematische ZeitschriftOpen Access

An abstract approach to algebras of braids and ties

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Key Points

To unify and generalize the existing types of braid and tie algebras in literature, including new variants.
Constructed algebras using approaches based on previous work by Marin.
Considered existing braids and ties algebras and their properties for the construction of new ones.
Developed a comprehensive framework for understanding various braid and tie algebras.
Introduced new algebras alongside generalizations of established ones.

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Implication

Abstract approach constructs various braid and tie algebras, highlighting generalizations and new findings.

Abstract

Generalizing work of Marin (Artin groups and Yokonuma–Hecke algebras. Int Math Res Not IMRN 13:4022–4062, 2018), we construct in a unified way all the “braids and ties” algebras available in literature and new ones.

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Fasano et al. (2026) studied this question.

synapsesocial.com/papers/6a5c6a1f118b92953e3ee3fb https://doi.org/10.1007/s00209-026-04076-7

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An abstract approach to algebras of braids and ties

Key Points

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Implication

Abstract

Discussion

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An abstract approach to algebras of braids and ties

Key Points

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Implication

Abstract

Discussion

Cite This Study

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