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# Mathematical Research Letters

## Volume 13 (2006)

### Number 2

### On the Drinfeld generators of $\mathfrak{grt}_1({\bf k})$ and $\Gamma$-functions for associators

Pages: 231 – 243

DOI: http://dx.doi.org/10.4310/MRL.2006.v13.n2.a5

#### Author

#### Abstract

We prove that the Drinfeld generators of $\mathfrak{grt}_1({\bf k})$ linearly 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.