Toda systems and exponents of simple Lie groups

Detalhes bibliográficos
Autor(a) principal: Costa, Joana M. Nunes da
Data de Publicação: 2001
Outros Autores: Damianou, Pantelis A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4653
https://doi.org/10.1016/S0007-4497(00)01068-X
Resumo: Results on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda systems of type Bn and Cn. The areas investigated, include master symmetries, recursion operators, higher Poisson brackets and invariants. The results are presented both in Flaschka coordinates (a,b) as well as in the natural (q,p) coordinates. A conjecture which relates the degrees of higher Poisson brackets and the exponents of the corresponding Lie group is verified for these systems.
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spelling Toda systems and exponents of simple Lie groupsResults on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda systems of type Bn and Cn. The areas investigated, include master symmetries, recursion operators, higher Poisson brackets and invariants. The results are presented both in Flaschka coordinates (a,b) as well as in the natural (q,p) coordinates. A conjecture which relates the degrees of higher Poisson brackets and the exponents of the corresponding Lie group is verified for these systems.http://www.sciencedirect.com/science/article/B6VKR-42BT0VX-3/1/5111b82cd06e6016a123f286071a5d6a2001info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4653http://hdl.handle.net/10316/4653https://doi.org/10.1016/S0007-4497(00)01068-XengBulletin des Sciences Mathématiques. 125:1 (2001) 49-69Costa, Joana M. Nunes daDamianou, Pantelis A.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-11-06T16:59:28Zoai:estudogeral.uc.pt:10316/4653Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:46.615827Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Toda systems and exponents of simple Lie groups
title Toda systems and exponents of simple Lie groups
spellingShingle Toda systems and exponents of simple Lie groups
Costa, Joana M. Nunes da
title_short Toda systems and exponents of simple Lie groups
title_full Toda systems and exponents of simple Lie groups
title_fullStr Toda systems and exponents of simple Lie groups
title_full_unstemmed Toda systems and exponents of simple Lie groups
title_sort Toda systems and exponents of simple Lie groups
author Costa, Joana M. Nunes da
author_facet Costa, Joana M. Nunes da
Damianou, Pantelis A.
author_role author
author2 Damianou, Pantelis A.
author2_role author
dc.contributor.author.fl_str_mv Costa, Joana M. Nunes da
Damianou, Pantelis A.
description Results on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda systems of type Bn and Cn. The areas investigated, include master symmetries, recursion operators, higher Poisson brackets and invariants. The results are presented both in Flaschka coordinates (a,b) as well as in the natural (q,p) coordinates. A conjecture which relates the degrees of higher Poisson brackets and the exponents of the corresponding Lie group is verified for these systems.
publishDate 2001
dc.date.none.fl_str_mv 2001
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/4653
http://hdl.handle.net/10316/4653
https://doi.org/10.1016/S0007-4497(00)01068-X
url http://hdl.handle.net/10316/4653
https://doi.org/10.1016/S0007-4497(00)01068-X
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Bulletin des Sciences Mathématiques. 125:1 (2001) 49-69
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/PDF
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