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On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds |
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| Authors: | José M Isidro |
| Institution: | (1) Facultad de Matemáticas, Santiago de Compostela, Spain |
| Abstract: | The Banach-Lie algebras ℌ κ 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 ℌ κ is studied. |
| Keywords: | Classical symmetric complex Banach manifolds JB*-triples Cartan factors Banach-Lie algebras Complete holomorphic vector fields |
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