Kac algebras arising from composition of subfactors : general theory and classification / / Masaki Izumi, Hideki Ksaki
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| Autore: |
Izumi Masaki <1965->
|
| Titolo: |
Kac algebras arising from composition of subfactors : general theory and classification / / Masaki Izumi, Hideki Ksaki
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| ©2002 | |
| Descrizione fisica: | 1 online resource (215 p.) |
| Disciplina: | 510 s |
| 512/.55 | |
| Soggetto topico: | Kac-Moody algebras |
| Persona (resp. second.): | KosakiHideki |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| 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"" | |
| Titolo autorizzato: | Kac algebras arising from composition of subfactors |
| ISBN: | 1-4704-0343-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910812750003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 750.