Three-point Lie algebras and Grothendieck's dessins d'enfants

Abstract

We define and classify the analogues of the affine Kac-Moody Lie algebras for the ring corresponding to the complex projective line minus three points. The classification is given in terms of Grothendieck's dessins d'enfants. We also study the question of conjugacy of Cartan subalgebras for these algebras.

arXiv comment16 pages

Cited by in corpus (1)

• Counterexample to conjugacy of maximal abelian diagonalizable subalgebras in Extended Affine Lie algebras