压缩Drinfeld结合子
Compressed Drinfeld associators
摘要：
Drinfeld结合子是计算纽结Kontsevich积分的一个重要工具。Drinfeld结合子是两个非交换变量的级数，满足高度复杂的代数方程-六边形和五边形。Drinfeld结合子的对数存在于由符号a，b，c模[a，b]=[b，c]=[c，a]生成的李代数L中。主要结果是在商L/[[L，L]，[L，L]]中满足压缩五边形和压缩六边形的压缩结合子的描述.关键的成分是一个明确的形式Campbell-Baker-Hausdorff公式的情况下，所有的交换器交换。
英文摘要：
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 algbera 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 satisfy 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.
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