Abstract
The theory of Vassiliev invariants deals with many modules of diagrams on which the algebra defined by Pierre Vogel acts. By specifying a quadratic simple Lie superalgebra, one obtains a character on . We show the coherence of these characters by building a map of graded algebras beetwen and a quotient of a ring of polynomials in three variables; all the characters induced by simple Lie superalgebras factor through this map. In particular, we show that the characters for the Lie superalgebra with dimension 40 and for are the same.
Citation
Bertrand Patureau-Mirand. "Caractères sur l'algèbre de diagrammes trivalents Lambda." Geom. Topol. 6 (2) 563 - 607, 2002. https://doi.org/10.2140/gt.2002.6.563
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