"Abstract" homomorphisms of split Kac-Moody groups / / Pierre-Emmanuel Caprace
| "Abstract" homomorphisms of split Kac-Moody groups / / Pierre-Emmanuel Caprace |
| Autore | Caprace Pierre-Emmanuel <1981-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 511.3/26 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Isomorphisms (Mathematics)
Automorphisms Kac-Moody algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0530-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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. Proof of the isomorphism theorem""; ""Chapter 6. Isomorphisms of Kac-Moody groups in positive characteristic""; ""6.1. On bounded subgroups of Kac-Moody groups""; ""6.2. Homomorphisms of certain algebraic groups to Kac-Moody groups""; ""6.3. Images of certain small subgroups under Kac-Moody group isomorphisms""; ""6.4. Proof of the isomorphism theorem"" ""Chapter 7. Homomorphisms of Kac-Moody groups to algebraic groups""""7.1. The non-linearity theorem""; ""7.2. A combinatorial characterization of affine Coxeter groups""; ""7.3. On infinite root systems""; ""7.4. Proof of the non-linearity theorem""; ""Chapter 8. Unitary forms of Kac-Moody groups""; ""8.1. Introduction""; ""8.2. Definitions""; ""8.3. Isomorphisms of unitary forms""; ""8.4. Non-linearity""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910480394403321 |
Caprace Pierre-Emmanuel <1981->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
"Abstract" homomorphisms of split Kac-Moody groups / / Pierre-Emmanuel Caprace
| "Abstract" homomorphisms of split Kac-Moody groups / / Pierre-Emmanuel Caprace |
| Autore | Caprace Pierre-Emmanuel <1981-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 511.3/26 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Isomorphisms (Mathematics)
Automorphisms Kac-Moody algebras |
| ISBN | 1-4704-0530-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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. Proof of the isomorphism theorem""; ""Chapter 6. Isomorphisms of Kac-Moody groups in positive characteristic""; ""6.1. On bounded subgroups of Kac-Moody groups""; ""6.2. Homomorphisms of certain algebraic groups to Kac-Moody groups""; ""6.3. Images of certain small subgroups under Kac-Moody group isomorphisms""; ""6.4. Proof of the isomorphism theorem"" ""Chapter 7. Homomorphisms of Kac-Moody groups to algebraic groups""""7.1. The non-linearity theorem""; ""7.2. A combinatorial characterization of affine Coxeter groups""; ""7.3. On infinite root systems""; ""7.4. Proof of the non-linearity theorem""; ""Chapter 8. Unitary forms of Kac-Moody groups""; ""8.1. Introduction""; ""8.2. Definitions""; ""8.3. Isomorphisms of unitary forms""; ""8.4. Non-linearity""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910788854303321 |
Caprace Pierre-Emmanuel <1981->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
"Abstract" homomorphisms of split Kac-Moody groups / / Pierre-Emmanuel Caprace
| "Abstract" homomorphisms of split Kac-Moody groups / / Pierre-Emmanuel Caprace |
| Autore | Caprace Pierre-Emmanuel <1981-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (108 p.) |
| Disciplina | 511.3/26 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Isomorphisms (Mathematics)
Automorphisms Kac-Moody algebras |
| ISBN | 1-4704-0530-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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. Proof of the isomorphism theorem""; ""Chapter 6. Isomorphisms of Kac-Moody groups in positive characteristic""; ""6.1. On bounded subgroups of Kac-Moody groups""; ""6.2. Homomorphisms of certain algebraic groups to Kac-Moody groups""; ""6.3. Images of certain small subgroups under Kac-Moody group isomorphisms""; ""6.4. Proof of the isomorphism theorem"" ""Chapter 7. Homomorphisms of Kac-Moody groups to algebraic groups""""7.1. The non-linearity theorem""; ""7.2. A combinatorial characterization of affine Coxeter groups""; ""7.3. On infinite root systems""; ""7.4. Proof of the non-linearity theorem""; ""Chapter 8. Unitary forms of Kac-Moody groups""; ""8.1. Introduction""; ""8.2. Definitions""; ""8.3. Isomorphisms of unitary forms""; ""8.4. Non-linearity""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910812439503321 |
Caprace Pierre-Emmanuel <1981->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic Q-groups as abstract groups / / Olivier Frecon
| Algebraic Q-groups as abstract groups / / Olivier Frecon |
| Autore | Frecon Olivier |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2018 |
| Descrizione fisica | 1 online resource (v, 99 pages) |
| Disciplina | 512.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Algebra
Finite groups Isomorphisms (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-4815-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- 1.1. Related work -- 1.2. The field of definition -- 1.3. Overview of the paper -- Chapter 2. Background material -- 2.1. Groups of finite Morley rank -- 2.2. Fundamental theorems -- 2.3. Decent tori and pseudo-tori -- 2.4. Unipotence -- Chapter 3. Expanded pure groups -- Chapter 4. Unipotent groups over \ov{\Q} and definable linearity -- Chapter 5. Definably affine groups -- 5.1. Definition and generalities -- 5.2. The subgroup ( ) -- 5.3. The subgroup ( ) -- Chapter 6. Tori in expanded pure groups -- Chapter 7. The definably linear quotients of an -group -- 7.1. The subgroups ( ) and ( ) -- 7.2. The nilpotence of ( ) -- 7.3. The subgroup ( ) when the ground field is \ov{\Q} -- 7.4. The subgroups ( ) and ( ) in positive characteristic -- Chapter 8. The group _{ } and the Main Theorem for =\ov{\Q} -- Chapter 9. The Main Theorem for ≠\ov{\Q} -- Chapter 10. Bi-interpretability and standard isomorphisms -- 10.1. Positive characteristic and bi-interpretability -- 10.2. Characteristic zero -- Acknowledgements -- Bibliography -- Index of notations -- Index -- Back Cover. |
| Record Nr. | UNINA-9910478892103321 |
Frecon Olivier
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2018 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic Q-groups as abstract groups / / Olivier Frécon
| Algebraic Q-groups as abstract groups / / Olivier Frécon |
| Autore | Frécon Olivier <1974-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2018] |
| Descrizione fisica | 1 online resource (v, 99 pages) |
| Disciplina | 512.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Algebra
Finite groups Isomorphisms (Mathematics) |
| ISBN | 1-4704-4815-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- 1.1. Related work -- 1.2. The field of definition -- 1.3. Overview of the paper -- Chapter 2. Background material -- 2.1. Groups of finite Morley rank -- 2.2. Fundamental theorems -- 2.3. Decent tori and pseudo-tori -- 2.4. Unipotence -- Chapter 3. Expanded pure groups -- Chapter 4. Unipotent groups over \ov{\Q} and definable linearity -- Chapter 5. Definably affine groups -- 5.1. Definition and generalities -- 5.2. The subgroup ( ) -- 5.3. The subgroup ( ) -- Chapter 6. Tori in expanded pure groups -- Chapter 7. The definably linear quotients of an -group -- 7.1. The subgroups ( ) and ( ) -- 7.2. The nilpotence of ( ) -- 7.3. The subgroup ( ) when the ground field is \ov{\Q} -- 7.4. The subgroups ( ) and ( ) in positive characteristic -- Chapter 8. The group _{ } and the Main Theorem for =\ov{\Q} -- Chapter 9. The Main Theorem for ≠\ov{\Q} -- Chapter 10. Bi-interpretability and standard isomorphisms -- 10.1. Positive characteristic and bi-interpretability -- 10.2. Characteristic zero -- Acknowledgements -- Bibliography -- Index of notations -- Index -- Back Cover. |
| Record Nr. | UNINA-9910793296603321 |
Frécon Olivier <1974->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2018] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic Q-groups as abstract groups / / Olivier Frécon
| Algebraic Q-groups as abstract groups / / Olivier Frécon |
| Autore | Frécon Olivier <1974-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2018] |
| Descrizione fisica | 1 online resource (v, 99 pages) |
| Disciplina | 512.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Algebra
Finite groups Isomorphisms (Mathematics) |
| ISBN | 1-4704-4815-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- 1.1. Related work -- 1.2. The field of definition -- 1.3. Overview of the paper -- Chapter 2. Background material -- 2.1. Groups of finite Morley rank -- 2.2. Fundamental theorems -- 2.3. Decent tori and pseudo-tori -- 2.4. Unipotence -- Chapter 3. Expanded pure groups -- Chapter 4. Unipotent groups over \ov{\Q} and definable linearity -- Chapter 5. Definably affine groups -- 5.1. Definition and generalities -- 5.2. The subgroup ( ) -- 5.3. The subgroup ( ) -- Chapter 6. Tori in expanded pure groups -- Chapter 7. The definably linear quotients of an -group -- 7.1. The subgroups ( ) and ( ) -- 7.2. The nilpotence of ( ) -- 7.3. The subgroup ( ) when the ground field is \ov{\Q} -- 7.4. The subgroups ( ) and ( ) in positive characteristic -- Chapter 8. The group _{ } and the Main Theorem for =\ov{\Q} -- Chapter 9. The Main Theorem for ≠\ov{\Q} -- Chapter 10. Bi-interpretability and standard isomorphisms -- 10.1. Positive characteristic and bi-interpretability -- 10.2. Characteristic zero -- Acknowledgements -- Bibliography -- Index of notations -- Index -- Back Cover. |
| Record Nr. | UNINA-9910828441303321 |
Frécon Olivier <1974->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2018] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades
| Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades |
| Autore | Gregoriades Vassilios <1981-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2015] |
| Descrizione fisica | 1 online resource (102 pages) |
| Disciplina | 511.3/22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Polish spaces (Mathematics)
Metric spaces Isomorphisms (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-2822-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480924303321 |
Gregoriades Vassilios <1981->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2015] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades
| Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades |
| Autore | Gregoriades Vassilios <1981-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2015] |
| Descrizione fisica | 1 online resource (102 pages) |
| Disciplina | 511.3/22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Polish spaces (Mathematics)
Metric spaces Isomorphisms (Mathematics) |
| ISBN | 1-4704-2822-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910796558703321 |
Gregoriades Vassilios <1981->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2015] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades
| Classes of Polish spaces under effective Borel isomorphism / / Vassilios Gregoriades |
| Autore | Gregoriades Vassilios <1981-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2015] |
| Descrizione fisica | 1 online resource (102 pages) |
| Disciplina | 511.3/22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Polish spaces (Mathematics)
Metric spaces Isomorphisms (Mathematics) |
| ISBN | 1-4704-2822-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910823960303321 |
Gregoriades Vassilios <1981->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2015] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The isomorphism problem in Coxeter groups [[electronic resource] /] / Patrick Bahls
| The isomorphism problem in Coxeter groups [[electronic resource] /] / Patrick Bahls |
| Autore | Bahls C. Patrick |
| Pubbl/distr/stampa | London, : Imperial College Press, c2005 |
| Descrizione fisica | 1 online resource (192 p.) |
| Disciplina |
512.2
512/.2 |
| Soggetto topico |
Coxeter groups
Isomorphisms (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-86686-5
9786611866860 1-86094-719-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Chapter 1 Preliminaries on Coxeter groups; Chapter 2 Further properties of Coxeter groups; Chapter 3 Rigidity; Chapter 4 In the beginning: some early results; Chapter 5 Even Coxeter groups; Chapter 6 More general groups; Chapter 7 Refinements and generalizations: automorphisms and Artin groups; Bibliography; Index |
| Record Nr. | UNINA-9910451068503321 |
Bahls C. Patrick
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| London, : Imperial College Press, c2005 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||