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arxiv: math/0605233 · v2 · submitted 2006-05-09 · 🧮 math.QA · math.RT

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

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keywords operadbihamiltonianbracketscharactercompatibleformulascomponentscompute
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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.

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