Character formulas for the operad of two compatible brackets and for the bihamiltonian operad

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We compute dimensions of the components for the operad of two compatible brackets and for the bihamiltonian operad. We also obtain character formulas for the representations of the symmetric groups and the $SL_2$ group in these spaces.
24 pages, accepted by Functional Analysis and its Applications, a few typos corrected

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Quantum Algebra, Representation Theory, 18D50, 20C30 (Primary); 05E25, 06A11, 37K10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/126026

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605233
 http://arxiv.org/abs/math/0605233
 Functional Analysis and Its Applications, 41 (2007), no.1, 1-17
 doi:10.1007/s10688-007-0001-3

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arXiv