English

Notes on Kashiwara-Vergne and double shuffle Lie algebras

Quantum Algebra 2024-11-01 v4 Number Theory Rings and Algebras

Abstract

We explain the current situation of the relationship between the Kashiwara-Vergne Lie algebra krv\mathfrak{krv} and the double shuffle Lie algebra dmr\mathfrak{dmr}. We also show the validity of Ecalle's senary relation for small depths.

Keywords

Cite

@article{arxiv.2211.09444,
  title  = {Notes on Kashiwara-Vergne and double shuffle Lie algebras},
  author = {Hidekazu Furusho and Nao Komiyama},
  journal= {arXiv preprint arXiv:2211.09444},
  year   = {2024}
}

Comments

This paper draws materials in the case of \Gamma={e} from our previous joint article arXiv:2003.01844