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

Vladimir Dotsenko·Anton Khoroshkin
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Abstract

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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Vladimir Dotsenko, Anton Khoroshkin. 2006-05-10. Character formulas for the operad of two compatible brackets and for the bihamiltonian operad. https://doi.org/10.1007/s10688-007-0001-3

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