A cubic defining algebra for the Links-Gould polynomial

Published 27 Mar 2012 in math.GT and math.QA | (1203.5981v1)

Abstract: 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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