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

Research paper by Vladimir Dotsenko, Anton Khoroshkin

Indexed on: 10 May '06Published on: 10 May '06Published in: Mathematics - Quantum Algebra



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.