On Vassiliev invariants not coming from semisimple Lie algebras

被引：6
|
作者：
Lieberum, J [1 ]
机构：
[1] Univ Strasbourg 1, CNRS, Inst Rech Math Avancee, F-67084 Strasbourg, France
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 1999年 / 8卷 / 05期
关键词：
knots; Vassiliev invariants; Lie superalgebras;
D O I：
10.1142/S0218216599000420
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 the 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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页码：659 / 666
页数：8
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