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Funktsional'nyi Analiz i ego Prilozheniya, 2007, Volume 41, Issue 1, Pages 1–22
DOI: https://doi.org/10.4213/faa2851 (Mi faa2851) 		 
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)
Full-text PDF (326 kB) Citations (45)
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DOI: https://doi.org/10.4213/faa2851
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
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 1, Pages 1–17
DOI: https://doi.org/10.1007/s10688-007-0001-3
Bibliographic databases:
Document Type: Article
UDC: 512.57
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 45 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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