Toda systems and exponents of simple Lie groups
Autor(a) principal: | |
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Data de Publicação: | 2001 |
Outros Autores: | |
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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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 |
format |
article |
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 |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133898386440192 |