Geodesic
Period Polynomials and Ihara Brackets
Jean-Gabriel Luque1 ; Jean-Christophe Novelli1 ; Jean-Yves Thibon1, 2, 3, 4, 5
1Institut Gaspard Monge, Université de Marne-la-Vallée, 77454 Marne-la-Vallée, France
2L. 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.
3Keywords: Free Lie algebras, modular forms, period polynomials.
4MSC: 11F11, 17B01
5[
Journal of Lie Theory, Tome 17 (2007) no. 2, pp. 229-239

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 11F11, 17B01
Mots-clés : Free Lie algebras, modular forms, period polynomials

Jean-Gabriel Luque  1   ; Jean-Christophe Novelli  1   ; Jean-Yves Thibon  1 , 2 , 3 , 4 , 5

1 Institut Gaspard Monge, Université de Marne-la-Vallée, 77454 Marne-la-Vallée, France
2 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.
3 Keywords: Free Lie algebras, modular forms, period polynomials.
4 MSC: 11F11, 17B01
5 [ 
Jean-Gabriel Luque; Jean-Christophe Novelli; Jean-Yves Thibon. Period Polynomials and Ihara Brackets. Journal of Lie Theory, Tome 17 (2007) no. 2, pp. 229-239. http://geodesic.mathdoc.fr/item/JOLT_2007_17_2_a0/
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     title = {Period {Polynomials} and {Ihara} {Brackets}},
     journal = {Journal of Lie Theory},
     pages = {229--239},
     year = {2007},
     volume = {17},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2007_17_2_a0/}
}
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