Period polynomials and Ihara brackets

Jean-Gabriel Luque (1, 2) , Jean-Christophe Novelli (1) , Jean-Yves Thibon (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge
2 LITIS - Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes

Schneps [J. Lie Theory 16 (2006), 19--37] has found surprising links between Ihara brackets and even period polynomials. These results can be recovered and generalized by considering some identities relating Ihara brackets and classical Lie brackets. The period polynomials generated by this method are found to be essentially the Kohnen-Zagier polynomials.

Domaines: Combinatoire [math.CO]

Jean-Gabriel Luque, Jean-Christophe Novelli, Jean-Yves Thibon. Period polynomials and Ihara brackets. Journal of Lie Theory, 2007, 17 (2), pp.229-239. ⟨hal-00085171⟩