Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields

dc.contributor.authorFerreiro Pérez, R.
dc.contributor.authorMuñoz Masqué, J.
dc.date.accessioned2019-02-19T17:50:20Z
dc.date.available2019-02-19T17:50:20Z
dc.date.issued2009
dc.description.abstractTwo 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)).uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. Part of this work started during the stay of the first author at Utah State University under the advice of Professor Ian Anderson. The computations were first obtained by using MAPLE package “Vessiot”. Supported by Ministerio de Ciencia e Innovaci´on of Spain under grant #MTM2008–01386.uk_UA
dc.identifier.citationNon-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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 58D15; 17B56; 22E65; 53D20; 53D30; 58A20
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149158
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleNon-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fieldsuk_UA
dc.typeArticleuk_UA

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