Journal of Lie Theory 17 (2007), No. 2, 229--239
Copyright Heldermann Verlag 2007
Period Polynomials and Ihara Brackets
Jean-Gabriel Luque
Institut Gaspard Monge, Université de Marne-la-Vallée, 77454 Marne-la-Vallée, France
Jean-Christophe Novelli
Institut Gaspard Monge, Université de Marne-la-Vallée, 77454 Marne-la-Vallée, France
Jean-Yves Thibon
Institut Gaspard Monge, Université de Marne-la-Vallée, 77454 Marne-la-Vallée, France
L. 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.
Keywords: Free Lie algebras, modular forms, period polynomials.
MSC: 11F11, 17B01
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