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Period polynomials and Ihara brackets

Jean-Gabriel Luque, Jean-Christophe Novelli, Jean-Yves Thibon

math.COarXiv:math/0606301

Abstract

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.

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