G(2)-Calogero-Moser Lax operators from reduction
Autor(a) principal: | |
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Data de Publicação: | 2006 |
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/10400.1/11816 |
Resumo: | We construct a Lax operator for the G(2)-Calogero-Moser model by means of a double reduction procedure. In the first reduction step we reduce the A(6)-model to a B-3-model with the help of an embedding of the B-3-root system into the A(6)-root system together with the specification of certain coupling constants. The G(2)-Lax operator is obtained thereafter by means of an additional reduction by exploiting the embedding of the G(2)-system into the B-3-system. The degree of algebraically independent and non-vanishing charges is found to be equal to the degrees of the corresponding Lie algebra. |
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G(2)-Calogero-Moser Lax operators from reductionCalogero-moser modelsClassical R-matrixSutherland modelLie-algebrasIntegrable systemsBody problemsOne dimensionField-TheoryEquationsStateWe construct a Lax operator for the G(2)-Calogero-Moser model by means of a double reduction procedure. In the first reduction step we reduce the A(6)-model to a B-3-model with the help of an embedding of the B-3-root system into the A(6)-root system together with the specification of certain coupling constants. The G(2)-Lax operator is obtained thereafter by means of an additional reduction by exploiting the embedding of the G(2)-system into the B-3-system. The degree of algebraically independent and non-vanishing charges is found to be equal to the degrees of the corresponding Lie algebra.Atlantis PressSapientiaFring, AndreasManojlovic, Nenad2018-12-07T14:58:01Z2006-112006-11-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/11816eng1402-925110.2991/jnmp.2006.13.4.1info: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:RCAAP2023-07-24T10:23:40Zoai:sapientia.ualg.pt:10400.1/11816Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:03:15.970051Repositório 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 |
G(2)-Calogero-Moser Lax operators from reduction |
title |
G(2)-Calogero-Moser Lax operators from reduction |
spellingShingle |
G(2)-Calogero-Moser Lax operators from reduction Fring, Andreas Calogero-moser models Classical R-matrix Sutherland model Lie-algebras Integrable systems Body problems One dimension Field-Theory Equations State |
title_short |
G(2)-Calogero-Moser Lax operators from reduction |
title_full |
G(2)-Calogero-Moser Lax operators from reduction |
title_fullStr |
G(2)-Calogero-Moser Lax operators from reduction |
title_full_unstemmed |
G(2)-Calogero-Moser Lax operators from reduction |
title_sort |
G(2)-Calogero-Moser Lax operators from reduction |
author |
Fring, Andreas |
author_facet |
Fring, Andreas Manojlovic, Nenad |
author_role |
author |
author2 |
Manojlovic, Nenad |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Sapientia |
dc.contributor.author.fl_str_mv |
Fring, Andreas Manojlovic, Nenad |
dc.subject.por.fl_str_mv |
Calogero-moser models Classical R-matrix Sutherland model Lie-algebras Integrable systems Body problems One dimension Field-Theory Equations State |
topic |
Calogero-moser models Classical R-matrix Sutherland model Lie-algebras Integrable systems Body problems One dimension Field-Theory Equations State |
description |
We construct a Lax operator for the G(2)-Calogero-Moser model by means of a double reduction procedure. In the first reduction step we reduce the A(6)-model to a B-3-model with the help of an embedding of the B-3-root system into the A(6)-root system together with the specification of certain coupling constants. The G(2)-Lax operator is obtained thereafter by means of an additional reduction by exploiting the embedding of the G(2)-system into the B-3-system. The degree of algebraically independent and non-vanishing charges is found to be equal to the degrees of the corresponding Lie algebra. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006-11 2006-11-01T00:00:00Z 2018-12-07T14:58:01Z |
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/10400.1/11816 |
url |
http://hdl.handle.net/10400.1/11816 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1402-9251 10.2991/jnmp.2006.13.4.1 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Atlantis Press |
publisher.none.fl_str_mv |
Atlantis Press |
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 |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
|
_version_ |
1799133267083919360 |