The Lie structure of C* and Poisson algebras
Janusz Grabowski (1985)
Studia Mathematica
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Janusz Grabowski (1985)
Studia Mathematica
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Ciobanu, Camelia (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Saïd Benayadi (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Grabowski, Janusz
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Tadeusz Ostrowski (2013)
Discussiones Mathematicae - General Algebra and Applications
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In the paper there are investigated some properties of Lie algebras, the construction which has a wide range of applications like computer sciences (especially to computer visions), geometry or physics, for example. We concentrate on the semidirect sum of algebras and there are extended some theoretic designs as conditions to be a center, a homomorphism or a derivative. The Killing form of the semidirect sum where the second component is an ideal of the first one is considered as well. ...
Ian Stewart (1973)
Compositio Mathematica
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José Isidro (2007)
Open Mathematics
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The Banach-Lie algebras ℌκ of all holomorphic infinitesimal isometries of the classical symmetric complex Banach manifolds of compact type (κ = 1) and non compact type (κ = −1) associated with a complex JB*-triple Z are considered and the Lie ideal structure of ℌκ is studied.
Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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