Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493174 | Journal of Algebra | 2005 | 59 Pages |
Abstract
Drinfeld associator is a key tool in computing the Kontsevich integral of knots. A Drinfeld associator is a series in two non-commuting variables, satisfying highly complicated algebraic equations-hexagon and pentagon. The logarithm of a Drinfeld associator lives in the Lie algebra L generated by the symbols a,b,c modulo [a,b]=[b,c]=[c,a]. The main result is a description of compressed associators that obey the compressed pentagon and hexagon in the quotient L/[[L,L],[L,L]]. The key ingredient is an explicit form of Campbell-Baker-Hausdorff formula in the case when all commutators commute.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
V. Kurlin,