Heisenberg Lie bialgebras as central extensions.
Benayed, Miloud, Souidi, El Mamoun (1998)
The New York Journal of Mathematics [electronic only]
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Benayed, Miloud, Souidi, El Mamoun (1998)
The New York Journal of Mathematics [electronic only]
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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....
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.
Harald Bjar, Olav Arnfinn Laudal (1990)
Compositio Mathematica
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Neeb, Karl-Hermann (1996)
Journal of Lie Theory
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Jan Kubarski (1991)
Revista Matemática de la Universidad Complutense de Madrid
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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...
Chloup, Véronique (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Hernández, I., Peniche, R. (2008)
International Journal of Mathematics and Mathematical Sciences
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Nijenhuis, A. (1996)
Archivum Mathematicum
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Alessandro D'Andrea (2004)
Bollettino dell'Unione Matematica Italiana
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In this communication, I recall the main results [BDK1] in the classification of finite Lie pseudoalgebras, which generalize several previously known algebraic structures, and announce some new results [BDK2] concerning their representation theory.