A cubic defining algebra for the Links-Gould polynomial

We define a finite-dimensional cubic quotient of the group algebra of the braid group, endowed with a (essentially unique) Markov trace which affords the Links-Grould invariant of knots and links. We investigate several of its properties, and state several conjectures about its structure.

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Source https://hal.science/hal-00686859
Author Marin, Ivan, Wagner, Emmanuel
Maintainer CCSD
Last Updated May 22, 2026, 05:21 (UTC)
Created May 22, 2026, 05:21 (UTC)
Identifier hal-00686859
Language en
contributor Institut de Mathématiques de Jussieu (IMJ) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
creator Marin, Ivan
date 2012-03-27T00:00:00
harvest_object_id b3f7e27c-097a-42cf-911a-6cad3b8debac
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-01-08T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1203.5981
set_spec type:UNDEFINED