论文标题
字母的链接和下部中央系列自由小组
Linking of letters and the lower central series of free groups
论文作者
论文摘要
我们通过字母的链接来开发中央中央系列自由组的不变性，这表明它们涵盖了下部中央系列子序列的理性线性双重偶。我们以一种通过业级人物来撒谎的方法，为对任何群体的中央系列赛代数奠定了基础。我们的方法为自由谎言代数提供了新的共同基础。我们与Fox衍生物的经典方法进行了比较。 V2：大量的博览会完善
We develop invariants of the lower central series of free groups through linking of letters, showing they span the rational linear dual of the lower central series subquotients. We build on an approach to Lie coalgebras through operads, setting the stage for generalization to the lower central series Lie algebra of any group. Our approach yields a new co-basis for free Lie algebras. We compare with the classical approach of Fox derivatives. v2: substantial refinement of exposition
