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Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
Інший ID:
2000 Mathematics Subject Classification: 58D15; 17B56; 22E65; 53D20; 53D30; 58A20
Посилання:
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.
Підтримка:
This 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.
Дата:
2009
Переглядів:
299
Завантажень:
160
Анотація:
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)).
