Mathematics – Quantum Algebra
Scientific paper
1997-06-04
J. of Knot Th. and its Ramif. 8, No. 5 (1999), 659-666
Mathematics
Quantum Algebra
Latex2e, 8 pages, 3 figures
Scientific paper
We prove a refinement of Vogel's statement that the Vassiliev invariants of knots coming from semisimple Lie algebras do not generate all Vassiliev invariants. This refinement takes into account the second grading on Vassiliev invariants induced by cabling of knots. As an application we get an amelioration of the actually known lower bounds for the dimensions of the space of Vassiliev invariants.
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