Central extensions of the Lie algebra of symplectic vector fields

Journal of Lie Theory

Volumn 16, Issue 2, 2006, Pages 297-309

  Vizman, Cornelia ^a  

^a WEST UNIVERSITY OF TIMISOARA   (Romania)

Author keywords

Central extension; Symplectic and Hamiltonian vector field

Indexed keywords

EID: 31544464647     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Hochschild, G., and J.-P. Serre, Cohomology of Lie algebras, Ann. of Math. 57 (1953), 591-603.
2. Kirillov, A. A., La géométrie des moments pour les groupes de difféomorphismes, Progress in Math. 92 (1990), 73-82.
3. Lecomte, P., Sur la suite exacte canonique associeé a un fibré principal, Bull. Soc. Math. France 113 (1985), 259-271.
4. Lichnerowicz, A., Lie algebra of infinitesimal automorphisms of a unimodular structure, Ann. Inst. Fourier 24 (1974), 219-266.
5. Neeb, K.-H., Inflation and restriction for Lie algebras, Preprint, TU Darmstadt, 2003.
6. Roger, C., Extensions centrales d'algèbres et de groupes de Lie de dimension infinie, algèbre de Virasoro et généralisations, Rep. Math. Phys. 35 (1995), 225-266.
7. Rudin, W., "Functional analysis," 2nd ed., International Series in Pure and Applied Math., McGraw-Hill 1991.
8. Teleman, N., A characterisitic ring of a Lie algebra extension. I, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 52 (1972), 498-506.
9. Weinstein, A., "Lectures on symplectic manifolds," Regional conference series in mathematics, no.29, Amer. Math. Soc. Providence, Rhode Island 1979.