2002/04/30 by Jens Lieberum, Lieberum, Jens
Chemistry · Mathematics · #17B37 #57M27 #FOS: Mathematics #Molecular spectroscopy and chirality #Quantum Algebra (math.QA) #math.QA #msc:17B37 #msc:57M27
paper · pdf · doi:10.48550/arxiv.math/0204346
45 pages, many figures
arxiv created 2002/04/30 · openalex publication_date 2002/04/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We determine explicitly a rational even Drinfeld associator Q in a completion of the universal enveloping algebra of the Lie superalgebra gl(1|1)3. More generally, we define a new algebra of trivalent diagrams that has a unique even horizontal group-like Drinfeld associator P. The associator P is mapped to Q by a weight system. As a result of independent interest, we show how O. Viro's generalization Delta1 of the multi-variable Alexander polynomial can be obtained from the universal Vassiliev invariant of trivalent graphs. We determine P by using the invariant Delta1(T) of a planar tetrahedron T.