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Record Nr. |
UNINA9910788854303321 |
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Autore |
Caprace Pierre-Emmanuel <1981-> |
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Titolo |
"Abstract" homomorphisms of split Kac-Moody groups / / Pierre-Emmanuel Caprace |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2009 |
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©2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (108 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 198, Number 924 |
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Disciplina |
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Soggetti |
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Isomorphisms (Mathematics) |
Automorphisms |
Kac-Moody algebras |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 198, Number 924 (first of 6 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""Acknowledgements""; ""Chapter 1. The objects: Kac-Moody groups, root data and Tits buildings""; ""1.1. Kac-Moody groups and Tits functors""; ""1.2. Root data""; ""1.3. Tits buildings""; ""1.4. Twin root data and twin buildings: a short dictionary""; ""Chapter 2. Basic tools from geometric group theory""; ""2.1. CAT(0) geometry""; ""2.2. Rigidity of algebraic-group-actions on trees""; ""Chapter 3. Kac-Moody groups and algebraic groups""; ""3.1. Bounded subgroups""; ""3.2. Adjoint representation of Tits functors"" |
""3.3. A few facts from the theory of algebraic groups""""Chapter 4. Isomorphisms of Kac-Moody groups: an overview""; ""4.1. The isomorphism theorem""; ""4.2. Diagonalizable subgroups and their centralizers""; ""4.3. Completely reducible subgroups and their centralizers""; ""4.4. Basic recognition of the ground field""; ""4.5. Detecting rank one subgroups of Kac-Moody groups""; ""4.6. Images of diagonalizable subgroups under Kac-Moody group isomorphisms""; ""4.7. A technical auxiliary to the isomorphism theorem""; ""Chapter 5. Isomorphisms of Kac-Moody groups in characteristic zero"" |
""5.1. Rigidity of SL[sub(2)](Q)-actions on CAT(0) polyhedral complexes""""5.2. Homomorphisms of Chevalley groups over Q to Kac-Moody groups""; ""5.3. Regularity of diagonalizable subgroups""; ""5.4. |
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