Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad

V. V. Dotsenko, A. S. Khoroshkin

Research output: Contribution to journalArticlepeer-review

Abstract

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 SL 2 in these spaces.

Original languageEnglish
Pages (from-to)1-17
Number of pages17
JournalFunctional Analysis and its Applications
Volume41
Issue number1
DOIs
StatePublished - Jan 2007
Externally publishedYes

Bibliographical note

Funding Information:
∗The research of the first author is supported by President of the Russian Federation grant no. NSh-2044.2003.2 and by INTAS grant no. 03-3350. The research of the second author is supported by RFBR grant no. 04-01-00637 and INTAS grant no. 03-3350.

Keywords

  • Cohen-Macaulay poset
  • Compatible Poisson brackets
  • Distributive law
  • Koszul operad

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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