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

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

2006-05-09

arxiv.org/abs/math/0605233v2

Functional Analysis and Its Applications, 41 (2007), no.1, 1-17

Mathematics

Quantum Algebra

24 pages, accepted by Functional Analysis and its Applications, a few typos corrected

Scientific paper

10.1007/s10688-007-0001-3

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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