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 language | English |
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Pages (from-to) | 1-17 |
Number of pages | 17 |
Journal | Functional Analysis and its Applications |
Volume | 41 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2007 |
Externally published | Yes |
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