An algebra involving braids and ties

Abstract

In this note we study a family of algebras with one parameter defined by generators and relations. The set of generators contains the generators of the usual braids algebra, and another set of generators which is interpreted as ties between consecutive strings. We also study the representations theory of the algebra when the parameter is specialized to 1.

15 pages, 18 figures

Cited by in corpus (6)

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• Clifford theory for Yokonuma--Hecke algebras and deformation of complex reflection groups
• Polynomial invariants for links and tied links
• Framization of Schur--Weyl duality and Yokonuma--Hecke type algebras
• Cellular subalgebras of the partition algebra