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math.QA2015
Brackets in representation algebras of Hopf algebras
Gwenael Massuyeau, Vladimir Turaev
For any graded bialgebras and , we define a commutative graded algebra representing the functor of -representations of . When is a cocommutative graded Hopf…
math.QA2004
Yang-Baxter operators arising from algebra structures and the Alexander polynomial of knots
Gwenael Massuyeau, Florin F. Nichita
In this note, we consider the problem of constructing knot invariants from Yang-Baxter operators associated to (unitary associative) algebra structures. We first compute the enhanc…