2014/06/03 by Noah Arbesfeld, Benjamin Enriquez, Arbesfeld, Noah +1
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Analytic and geometric function theory #FOS: Mathematics #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.1406.0675
openalex publication_date 2014/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Grothendieck-Teichm "uller Lie algebra is a Lie subalgebra of a Lie\nalgebra of derivations of the free Lie algebra in two generators. We show that\nthe lower central series of the latter Lie algebra induces a decreasing\nfiltration of the Grothendieck-Teichm "uller Lie algebra and we study the\ncorresponding graded Lie algebra. Its degree zero part had been previously\ncomputed by the second author. We show that the degree one part is a module\nover a symmetric algebra, which are both equipped with compatible decreasing\nfiltrations, and we exhibit an explicit lower bound for the associated graded\nmodule. We derive from there some information on explicit expression of the\ndepth 3 part of the depth-graded of the Grothendieck-Teichm "uller Lie algebra.\n