Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
Two examples of Diff⁺S¹-invariant closed two-forms obtained from forms on jet bundles, which does not admit equivariant moment maps are presented. The corresponding cohomological obstruction is computed and shown to coincide with a nontrivial Lie algebra cohomology class on H²(X(S¹)).
Збережено в:
| Дата: | 2009 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149158 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields / R. Ferreiro Pérez, J. Muñoz Masqué // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 8 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149158 |
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irk-123456789-1491582019-02-20T01:27:29Z Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields Ferreiro Pérez, R. Muñoz Masqué, J. Two examples of Diff⁺S¹-invariant closed two-forms obtained from forms on jet bundles, which does not admit equivariant moment maps are presented. The corresponding cohomological obstruction is computed and shown to coincide with a nontrivial Lie algebra cohomology class on H²(X(S¹)). 2009 Article Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields / R. Ferreiro Pérez, J. Muñoz Masqué // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 8 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 58D15; 17B56; 22E65; 53D20; 53D30; 58A20 http://dspace.nbuv.gov.ua/handle/123456789/149158 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Two examples of Diff⁺S¹-invariant closed two-forms obtained from forms on jet bundles, which does not admit equivariant moment maps are presented. The corresponding cohomological obstruction is computed and shown to coincide with a nontrivial Lie algebra cohomology class on H²(X(S¹)). |
| format |
Article |
| author |
Ferreiro Pérez, R. Muñoz Masqué, J. |
| spellingShingle |
Ferreiro Pérez, R. Muñoz Masqué, J. Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ferreiro Pérez, R. Muñoz Masqué, J. |
| author_sort |
Ferreiro Pérez, R. |
| title |
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields |
| title_short |
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields |
| title_full |
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields |
| title_fullStr |
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields |
| title_full_unstemmed |
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields |
| title_sort |
non-hamiltonian actions and lie-algebra cohomology of vector fields |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149158 |
| citation_txt |
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields / R. Ferreiro Pérez, J. Muñoz Masqué // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 8 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT ferreiroperezr nonhamiltonianactionsandliealgebracohomologyofvectorfields AT munozmasquej nonhamiltonianactionsandliealgebracohomologyofvectorfields |
| first_indexed |
2023-05-20T17:32:27Z |
| last_indexed |
2023-05-20T17:32:27Z |
| _version_ |
1796153526238314496 |