Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad
By Vladimir Dotsenko, Anton Khoroshkin. 2006
87 citations recorded by the source corpus.
We compute the dimensions of the components for the operad of two compatible brackets and for the bi-Hamiltonian operad. We also obtain character formulas for the representations of symmetric groups and SL2 in these spaces.
Subfields: Algebra and Number Theory, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f1a7121989662a915d2d2d427c89ed144efc124c
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In Algebra and Number Theory
In Mathematical Physics
Citations in the corpus
- Operads of compatible structures and weighted partitions (2007, background): “1 ?? • ??•• . Note that the last two relations are a consequence of the previous five. We denote (Lie2)! by 2Com. Remark 1.12. The operads Lie2 and 2Com were denoted by Lie2 and Com2, respectively, in [DK07]. We denote them with upper index so that the notation does not interfere with that of set ope”
- Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras (2019, unknown): “(33) also appeared in the work of Dotsenko and Khoroshkin [15] defining the operad Lie2 encoding two compatible Lie algebras.”