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"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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
"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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
"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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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  
London, : Imperial College Press, c2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui