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Displaying 81 – 100 of 238

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Holomorphic actions, Kummer examples, and Zimmer program

Serge Cantat, Abdelghani Zeghib (2012)

Annales scientifiques de l'École Normale Supérieure

We classify compact Kähler manifolds M of dimension n 3 on which acts a lattice of an almost simple real Lie group of rank n - 1 . This provides a new line in the so-called Zimmer program, and characterizes certain complex tori as compact Kähler manifolds with large automorphisms groups.

Holomorphic automorphisms and collective compactness in J*-algebras of operator

José Isidro (2007)

Open Mathematics

Let G be the Banach-Lie group of all holomorphic automorphisms of the open unit ball B 𝔄 in a J*-algebra 𝔄 of operators. Let 𝔉 be the family of all collectively compact subsets W contained in B 𝔄 . We show that the subgroup F ⊂ G of all those g ∈ G that preserve the family 𝔉 is a closed Lie subgroup of G and characterize its Banach-Lie algebra. We make a detailed study of F when 𝔄 is a Cartan factor.

Holomorphic automorphisms of the tube domain over the Vinberg cone

Laura Geatti (1986)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In questo articolo si determina il gruppo di tutti gli automorfismi olomorfi del dominio tubolare sul cono di Vinberg. Tale dominio ha dimensione complessa 5 ed è il dominio tubolare omogeneo non simmetrico di dimensione più bassa. Si costruisce esplicitamente un gruppo transitivo di automorfismi olomorfi del dominio; successivamente, dimostrando che tale gruppo contiene l'intero sottogruppo di isotropia di un qualunque punto, si ottiene che esso coincide col gruppo di tutti gli automorfismi olomorfi...

Currently displaying 81 – 100 of 238