Non-associative local Lie groups.
Olver, Peter J. (1996)
Journal of Lie Theory
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Olver, Peter J. (1996)
Journal of Lie Theory
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Pestov, Vladimir (1995)
Journal of Lie Theory
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Harald Bjar, Olav Arnfinn Laudal (1990)
Compositio Mathematica
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Hernández, I., Peniche, R. (2008)
International Journal of Mathematics and Mathematical Sciences
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Jan Kubarski (1991)
Revista Matemática de la Universidad Complutense de Madrid
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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.
Baguis, P., Stavracou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Chloup, Véronique (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Kenny De Commer (2015)
Banach Center Publications
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On the level of Lie algebras, the contraction procedure is a method to create a new Lie algebra from a given Lie algebra by rescaling generators and letting the scaling parameter tend to zero. One of the most well-known examples is the contraction from 𝔰𝔲(2) to 𝔢(2), the Lie algebra of upper-triangular matrices with zero trace and purely imaginary diagonal. In this paper, we will consider an extension of this contraction by taking also into consideration the natural bialgebra structures...
Richter, David A. (1999)
Journal of Lie Theory
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J. Alaminos, J. Extremera, Š. Špenko, A. R. Villena (2012)
Studia Mathematica
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Let A be an ultraprime Banach algebra. We prove that each approximately commuting continuous linear (or quadratic) map on A is near an actual commuting continuous linear (resp. quadratic) map on A. Furthermore, we use this analysis to study how close are approximate Lie isomorphisms and approximate Lie derivations to actual Lie isomorphisms and Lie derivations, respectively.
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....
Vladimir G. Pestov (1992)
Extracta Mathematicae
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