A correspondence between finite-dimensional Lie superalgebras and supergroups.
Vladimir G. Pestov (1992)
Extracta Mathematicae
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Vladimir G. Pestov (1992)
Extracta Mathematicae
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Johannes Huebschmann (2000)
Banach Center Publications
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Twilled L(ie-)R(inehart)-algebras generalize, in the Lie-Rinehart context, complex structures on smooth manifolds. An almost complex manifold determines an "almost twilled pre-LR algebra", which is a true twilled LR-algebra iff the almost complex structure is integrable. We characterize twilled LR structures in terms of certain associated differential (bi)graded Lie and G(erstenhaber)-algebras; in particular the G-algebra arising from an almost complex structure is a (strict) d(ifferential)...
Xiaoning Xu, Liangyun Chen (2013)
Czechoslovak Mathematical Journal
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In this paper, we continue to investigate some properties of the family of finite-dimensional simple modular Lie superalgebras which were constructed by X. N. Xu, Y. Z. Zhang, L. Y. Chen (2010). For each algebra in the family, a filtration is defined and proved to be invariant under the automorphism group. Then an intrinsic property is proved by the invariance of the filtration; that is, the integer parameters in the definition of Lie superalgebras are intrinsic. Thereby, we classify...
Doubrov, Boris M., Komrakov, Boris P. (1999)
Geometry & Topology
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Marc De Wilde, Pierre B. A. Lecomte (1982)
Commentationes Mathematicae Universitatis Carolinae
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Georges Giraud, Michel Boyom (2004)
Open Mathematics
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We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.
Salgado, Gil, Vallejo-Rodríguez, José A. (2009)
Advances in Mathematical Physics
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de Oliveira, M.P. (2001)
The New York Journal of Mathematics [electronic only]
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