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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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Means of Hilbert Space Operators [[electronic resource] /] / by Fumio Hiai, Hideki Kosaki
Means of Hilbert Space Operators [[electronic resource] /] / by Fumio Hiai, Hideki Kosaki
Autore Hiai Fumio
Edizione [1st ed. 2003.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003
Descrizione fisica 1 online resource (VIII, 156 p.)
Disciplina 515.7246
Collana Lecture Notes in Mathematics
Soggetto topico Functional analysis
Operator theory
Matrix theory
Algebra
Functional Analysis
Operator Theory
Linear and Multilinear Algebras, Matrix Theory
ISBN 3-540-45152-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Double integral transformations -- Means of operators and their comparison -- Convergence of means -- A-L-G interpolation means Ma -- Heinz-type means Aa -- Binomial means Ba -- Certain alternating sums of operators -- Appendices -- References -- Index.
Record Nr. UNISA-996466662903316
Hiai Fumio  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Means of Hilbert Space Operators / / by Fumio Hiai, Hideki Kosaki
Means of Hilbert Space Operators / / by Fumio Hiai, Hideki Kosaki
Autore Hiai Fumio
Edizione [1st ed. 2003.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003
Descrizione fisica 1 online resource (VIII, 156 p.)
Disciplina 515.7246
Collana Lecture Notes in Mathematics
Soggetto topico Functional analysis
Operator theory
Matrix theory
Algebra
Functional Analysis
Operator Theory
Linear and Multilinear Algebras, Matrix Theory
ISBN 3-540-45152-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Double integral transformations -- Means of operators and their comparison -- Convergence of means -- A-L-G interpolation means Ma -- Heinz-type means Aa -- Binomial means Ba -- Certain alternating sums of operators -- Appendices -- References -- Index.
Record Nr. UNINA-9910144601503321
Hiai Fumio  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Operator algebras and applications / / edited by Hideki Kosaki
Operator algebras and applications / / edited by Hideki Kosaki
Pubbl/distr/stampa Mathematical Society of Japan
Altri autori (Persone) KosakiHideki
Soggetto topico Operator algebras
Soggetto non controllato operator algebras
US-Japan
ISBN 4-931469-88-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910390542103321
Mathematical Society of Japan
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui