English

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

Quantum Algebra 2007-05-23 v2 Representation Theory

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 SL2SL_2 group in these spaces.

Keywords

Cite

@article{arxiv.math/0605233,
  title  = {Character formulas for the operad of two compatible brackets and for the bihamiltonian operad},
  author = {Vladimir Dotsenko and Anton Khoroshkin},
  journal= {arXiv preprint arXiv:math/0605233},
  year   = {2007}
}

Comments

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