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Kac algebras arising from composition of subfactors : general theory and classification / / Masaki Izumi, Hideki Ksaki
| Kac algebras arising from composition of subfactors : general theory and classification / / Masaki Izumi, Hideki Ksaki |
| Autore | Izumi Masaki <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (215 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Kac-Moody algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0343-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Actions of matched pairs""; ""1. Cocycles and cohomology group""; ""2. Cocycle conjugacy""; ""3. Appendix Iterated perturbation""; ""4. Appendix Normalization of cocycles""; ""Chapter 3. Cocycles attached to the pentagon equation""; ""1. Cocycles""; ""2. Cohomology group""; ""3. Appendix Normalization of cocycles""; ""4. Appendix Multiplicative unitary V[sup(Î?)]""; ""Chapter 4. Multiplicative unitary""; ""1. Preliminaries""; ""2. Orthonormal basis and multiplicative unitary""; ""Chapter 5. Kac algebra structure""
""Chapter 9. Structure theorems""""1. Preliminaries""; ""2. Main theorem""; ""3. Proof""; ""Chapter 10. Classification of certain Kac algebras""; ""1. Useful criteria""; ""2. 3p theorem""; ""3. p[sup(2)]q case""; ""4. Classification of low dimensional Kac algebras""; ""Chapter 11. Classification of Kac algebras of dimension 16""; ""1. Case when G(A) is an abelian group of order 8""; ""2. Computation of the invariant H[sup(2)]((D[sub(8)],Z[sub(2)]), T )/~""; ""3. Classification""; ""Chapter 12. Group extensions of general Kac algebras""; ""1. Description of cocycles"" ""2. Multiplicative unitary""""Chapter 13. 2-cocycles of Kac algebras""; ""1. Preliminaries""; ""2. Ergodic actions and 2-cocycles""; ""3. Examples I Kac-Paljutkin algebra""; ""4. Examples II Group algebras""; ""Chapter 14. Classification of Kac algebras of dimension 24""; ""1. Preliminaries""; ""2. Computation of H[sup(2)]((N, H), T )/~""; ""3. Reduction to the semi-direct product case""; ""4. Classification""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z"" |
| Record Nr. | UNINA-9910480522403321 |
Izumi Masaki <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Kac algebras arising from composition of subfactors : general theory and classification / / Masaki Izumi, Hideki Ksaki
| Kac algebras arising from composition of subfactors : general theory and classification / / Masaki Izumi, Hideki Ksaki |
| Autore | Izumi Masaki <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (215 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Kac-Moody algebras |
| ISBN | 1-4704-0343-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Actions of matched pairs""; ""1. Cocycles and cohomology group""; ""2. Cocycle conjugacy""; ""3. Appendix Iterated perturbation""; ""4. Appendix Normalization of cocycles""; ""Chapter 3. Cocycles attached to the pentagon equation""; ""1. Cocycles""; ""2. Cohomology group""; ""3. Appendix Normalization of cocycles""; ""4. Appendix Multiplicative unitary V[sup(Î?)]""; ""Chapter 4. Multiplicative unitary""; ""1. Preliminaries""; ""2. Orthonormal basis and multiplicative unitary""; ""Chapter 5. Kac algebra structure""
""Chapter 9. Structure theorems""""1. Preliminaries""; ""2. Main theorem""; ""3. Proof""; ""Chapter 10. Classification of certain Kac algebras""; ""1. Useful criteria""; ""2. 3p theorem""; ""3. p[sup(2)]q case""; ""4. Classification of low dimensional Kac algebras""; ""Chapter 11. Classification of Kac algebras of dimension 16""; ""1. Case when G(A) is an abelian group of order 8""; ""2. Computation of the invariant H[sup(2)]((D[sub(8)],Z[sub(2)]), T )/~""; ""3. Classification""; ""Chapter 12. Group extensions of general Kac algebras""; ""1. Description of cocycles"" ""2. Multiplicative unitary""""Chapter 13. 2-cocycles of Kac algebras""; ""1. Preliminaries""; ""2. Ergodic actions and 2-cocycles""; ""3. Examples I Kac-Paljutkin algebra""; ""4. Examples II Group algebras""; ""Chapter 14. Classification of Kac algebras of dimension 24""; ""1. Preliminaries""; ""2. Computation of H[sup(2)]((N, H), T )/~""; ""3. Reduction to the semi-direct product case""; ""4. Classification""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z"" |
| Record Nr. | UNINA-9910788846503321 |
|
Izumi Masaki <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Kac algebras arising from composition of subfactors : general theory and classification / / Masaki Izumi, Hideki Ksaki
| Kac algebras arising from composition of subfactors : general theory and classification / / Masaki Izumi, Hideki Ksaki |
| Autore | Izumi Masaki <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (215 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Kac-Moody algebras |
| ISBN | 1-4704-0343-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Actions of matched pairs""; ""1. Cocycles and cohomology group""; ""2. Cocycle conjugacy""; ""3. Appendix Iterated perturbation""; ""4. Appendix Normalization of cocycles""; ""Chapter 3. Cocycles attached to the pentagon equation""; ""1. Cocycles""; ""2. Cohomology group""; ""3. Appendix Normalization of cocycles""; ""4. Appendix Multiplicative unitary V[sup(Î?)]""; ""Chapter 4. Multiplicative unitary""; ""1. Preliminaries""; ""2. Orthonormal basis and multiplicative unitary""; ""Chapter 5. Kac algebra structure""
""Chapter 9. Structure theorems""""1. Preliminaries""; ""2. Main theorem""; ""3. Proof""; ""Chapter 10. Classification of certain Kac algebras""; ""1. Useful criteria""; ""2. 3p theorem""; ""3. p[sup(2)]q case""; ""4. Classification of low dimensional Kac algebras""; ""Chapter 11. Classification of Kac algebras of dimension 16""; ""1. Case when G(A) is an abelian group of order 8""; ""2. Computation of the invariant H[sup(2)]((D[sub(8)],Z[sub(2)]), T )/~""; ""3. Classification""; ""Chapter 12. Group extensions of general Kac algebras""; ""1. Description of cocycles"" ""2. Multiplicative unitary""""Chapter 13. 2-cocycles of Kac algebras""; ""1. Preliminaries""; ""2. Ergodic actions and 2-cocycles""; ""3. Examples I Kac-Paljutkin algebra""; ""4. Examples II Group algebras""; ""Chapter 14. Classification of Kac algebras of dimension 24""; ""1. Preliminaries""; ""2. Computation of H[sup(2)]((N, H), T )/~""; ""3. Reduction to the semi-direct product case""; ""4. Classification""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z"" |
| Record Nr. | UNINA-9910812750003321 |
|
Izumi Masaki <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||