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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 | ||
| ||
"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 | ||
| ||
"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 | ||
| ||
An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler
| An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler |
| Autore | Mokler Claus <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Lie groups Algebroids |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0424-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Contents""; ""Chapter 1. Preliminaries""; ""1.1. Kac-Moody algebras, Kac-Moody groups and the algebra of strongly regular functions""; ""1.2. A generalization of affine toric varieties""; ""Chapter 2. The monoid G and its structure""; ""2.1. The face lattice of the Tits cone""; ""2.2. The definition of the monoid G""; ""2.3. Formulas for computations in G""; ""2.4. The unit regularity of G""; ""2.5. The Weyl monoid W and the monoids T, N""; ""2.6. Some double coset partitions of G""; ""2.7. Constructing G from the twin root datum"" |
| Record Nr. | UNINA-9910480873903321 |
|
Mokler Claus <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler
| An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler |
| Autore | Mokler Claus <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Lie groups Algebroids |
| ISBN | 1-4704-0424-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Contents""; ""Chapter 1. Preliminaries""; ""1.1. Kac-Moody algebras, Kac-Moody groups and the algebra of strongly regular functions""; ""1.2. A generalization of affine toric varieties""; ""Chapter 2. The monoid G and its structure""; ""2.1. The face lattice of the Tits cone""; ""2.2. The definition of the monoid G""; ""2.3. Formulas for computations in G""; ""2.4. The unit regularity of G""; ""2.5. The Weyl monoid W and the monoids T, N""; ""2.6. Some double coset partitions of G""; ""2.7. Constructing G from the twin root datum"" |
| Record Nr. | UNINA-9910788748603321 |
|
Mokler Claus <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler
| An analogue of a reductive algebraic monoid whose unit group is a Kac-Moody group / / Claus Mokler |
| Autore | Mokler Claus <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (104 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Lie groups Algebroids |
| ISBN | 1-4704-0424-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Introduction""; ""Contents""; ""Chapter 1. Preliminaries""; ""1.1. Kac-Moody algebras, Kac-Moody groups and the algebra of strongly regular functions""; ""1.2. A generalization of affine toric varieties""; ""Chapter 2. The monoid G and its structure""; ""2.1. The face lattice of the Tits cone""; ""2.2. The definition of the monoid G""; ""2.3. Formulas for computations in G""; ""2.4. The unit regularity of G""; ""2.5. The Weyl monoid W and the monoids T, N""; ""2.6. Some double coset partitions of G""; ""2.7. Constructing G from the twin root datum"" |
| Record Nr. | UNINA-9910829181003321 |
|
Mokler Claus <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Annihilating fields of standard modules of Sl(2, C) and combinatorial identities / / Arne Meurman, Mirko Primc
| Annihilating fields of standard modules of Sl(2, C) and combinatorial identities / / Arne Meurman, Mirko Primc |
| Autore | Meurman Arne |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Combinatorial identities |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0241-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Introduction""; ""1. Formal Laurent series and rational functions""; ""2. Generating fields""; ""3. The vertex operator algebra N(k[omitted]0)""; ""4. Modules over N(k[omitted]0)""; ""5. Relations on standard modules""; ""6. Colored partitions, leading terms and the main results""; ""7. Colored partitions allowing at least two embeddings""; ""8. Relations among relations""; ""9. Relations among relations for two embeddings""; ""10. Linear independence of bases of standard modules""; ""11. Some combinatorial identities of Rogers-Ramanujan type""; ""Bibliography"" |
| Record Nr. | UNINA-9910480228903321 |
|
Meurman Arne
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Annihilating fields of standard modules of Sl(2, C) and combinatorial identities / / Arne Meurman, Mirko Primc
| Annihilating fields of standard modules of Sl(2, C) and combinatorial identities / / Arne Meurman, Mirko Primc |
| Autore | Meurman Arne |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Combinatorial identities |
| ISBN | 1-4704-0241-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Introduction""; ""1. Formal Laurent series and rational functions""; ""2. Generating fields""; ""3. The vertex operator algebra N(k[omitted]0)""; ""4. Modules over N(k[omitted]0)""; ""5. Relations on standard modules""; ""6. Colored partitions, leading terms and the main results""; ""7. Colored partitions allowing at least two embeddings""; ""8. Relations among relations""; ""9. Relations among relations for two embeddings""; ""10. Linear independence of bases of standard modules""; ""11. Some combinatorial identities of Rogers-Ramanujan type""; ""Bibliography"" |
| Record Nr. | UNINA-9910788736903321 |
|
Meurman Arne
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Annihilating fields of standard modules of Sl(2, C) and combinatorial identities / / Arne Meurman, Mirko Primc
| Annihilating fields of standard modules of Sl(2, C) and combinatorial identities / / Arne Meurman, Mirko Primc |
| Autore | Meurman Arne |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Combinatorial identities |
| ISBN | 1-4704-0241-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Introduction""; ""1. Formal Laurent series and rational functions""; ""2. Generating fields""; ""3. The vertex operator algebra N(k[omitted]0)""; ""4. Modules over N(k[omitted]0)""; ""5. Relations on standard modules""; ""6. Colored partitions, leading terms and the main results""; ""7. Colored partitions allowing at least two embeddings""; ""8. Relations among relations""; ""9. Relations among relations for two embeddings""; ""10. Linear independence of bases of standard modules""; ""11. Some combinatorial identities of Rogers-Ramanujan type""; ""Bibliography"" |
| Record Nr. | UNINA-9910807033603321 |
|
Meurman Arne
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Bosonic construction of vertex operator para-algebras from symplectic affine Kac-Moody algebras / / Michael David Weiner
| Bosonic construction of vertex operator para-algebras from symplectic affine Kac-Moody algebras / / Michael David Weiner |
| Autore | Weiner Michael David <1967-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Representations of algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0233-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""Chapter 2. Bosonic Construction of Symplectic Affine Kac-Moody Algebras""; ""Chapter 3. Bosonic Construction of Symplectic Vertex Operator Algebras and Modules""; ""Chapter 4. Bosonic Construction of Vertex Operator Para-Algebras""; ""Appendix""; ""Bibliography"" |
| Record Nr. | UNINA-9910480006303321 |
|
Weiner Michael David <1967->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
