On the Drinfeld generators of grt₁(k) and Gamma-functions for associators

2005/02/04 by Benjamin Enriquez, B. Enriquez, Enriquez, B.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0502084

arxiv created 2005/02/04 · openalex publication_date 2005/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Drinfeld generators of grt₁(k) span the image of this Lie algebra in the abelianization of the commutator of the free Lie algebra with two generators. We show that this result implies Gamma-function formulas for arbitrary associators.

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