Lie algebras connected with associative ones
Grabowski, Janusz
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Grabowski, Janusz
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Jan Kubarski (1991)
Revista Matemática de la Universidad Complutense de Madrid
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Hernández, I., Peniche, R. (2008)
International Journal of Mathematics and Mathematical Sciences
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Włodzimierz Waliszewski (1986)
Annales Polonici Mathematici
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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.
C. J. Atkin, J. Grabowski (1990)
Compositio Mathematica
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Liping Sun, Wende Liu (2017)
Open Mathematics
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According to the classification by Kac, there are eight Cartan series and five exceptional Lie superalgebras in infinite-dimensional simple linearly compact Lie superalgebras of vector fields. In this paper, the Hom-Lie superalgebra structures on the five exceptional Lie superalgebras of vector fields are studied. By making use of the ℤ-grading structures and the transitivity, we prove that there is only the trivial Hom-Lie superalgebra structures on exceptional simple Lie superalgebras....