Geodesic
Period Polynomials and Ihara Brackets
Journal of Lie theory, Tome 17 (2007) no. 2, pp. 229-239
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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 
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     author = {J.-G. Luque and J.-C. Novelli and J.-Y. Thibon},
     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/JLT_2007_17_2_JLT_2007_17_2_a0/}
}
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J.-G. Luque; J.-C. Novelli; J.-Y. Thibon. Period Polynomials and Ihara Brackets. Journal of Lie theory, Tome 17 (2007) no. 2, pp. 229-239. http://geodesic.mathdoc.fr/item/JLT_2007_17_2_JLT_2007_17_2_a0/