论文标题
关于schur代数和自由谎言代数的衍生
On Schur Algebras and Derivations of Free Lie Algebras
论文作者
论文摘要
我们研究了Schur代数对自由谎言代数和从其构建的作业结构的衍生代数的作用。我们还表明，派生的谎言代数是由二次推导以及Schur Operad的作用生成的。也给出了有限生成的自由组的自动形态组的某些亚组的应用。
We investigate the action of Schur algebra on the Lie algebras of derivations of free Lie algebras and operad structures constructed from it. We also show that the Lie algebra of derivations is generated by quadratic derivations together with the action of the Schur operad. Applications to certain subgroups of the automorphism group of a finitely generated free group are given as well.
