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This article is cited in 45 scientific papers (total in 45 papers)
Character Formulas for the Operad of Two Compatible Brackets and for the Bi-Hamiltonian Operad
V. V. Dotsenkoa, A. S. Khoroshkinb a Independent University of Moscow
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
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.
Keywords:
compatible Poisson brackets, distributive law, Koszul operad, Cohen–Macaulay poset.
Received: 01.11.2005
Citation:
V. V. Dotsenko, A. S. Khoroshkin, “Character Formulas for the Operad of Two Compatible Brackets and for the Bi-Hamiltonian Operad”, Funktsional. Anal. i Prilozhen., 41:1 (2007), 1–22; Funct. Anal. Appl., 41:1 (2007), 1–17
Linking options:
https://www.mathnet.ru/eng/faa2851https://doi.org/10.4213/faa2851 https://www.mathnet.ru/eng/faa/v41/i1/p1
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Abstract page: | 627 | Full-text PDF : | 275 | References: | 69 | First page: | 6 |
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