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arxiv: 1203.5981 · v1 · pith:N6CYNY43new · submitted 2012-03-27 · 🧮 math.GT · math.QA

A cubic defining algebra for the Links-Gould polynomial

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keywords algebracubicgroupseveralaffordsbraidconjecturesdefine
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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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