Normal Lie subsupergroups and non-abelian supercircles.
Baguis, P., Stavracou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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Baguis, P., Stavracou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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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....
Neeb, Karl-Hermann (1996)
Journal of Lie Theory
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Miloud Benayed (1998)
Extracta Mathematicae
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Hernández, I., Peniche, R. (2008)
International Journal of Mathematics and Mathematical Sciences
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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...
Jan Kubarski (1991)
Revista Matemática de la Universidad Complutense de Madrid
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Chloup, Véronique (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Nijenhuis, A. (1996)
Archivum Mathematicum
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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.
Peniche, R., Sánchez-Valenzuela, O.A., Thompson, F. (2004)
International Journal of Mathematics and Mathematical Sciences
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Vaisman, Izu (2000)
Journal of Lie Theory
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Fritzsche, Bernd (1999)
Journal of Lie Theory
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J. F. Cariñena, J. de Lucas
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Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping: the so-called superposition rule. Apart from this fundamental property, Lie systems enjoy many other geometrical features and they appear in multiple branches of mathematics and physics. These facts, together with the authors' recent findings...