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101 0 $aeng
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181   $ctxt
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183   $acr
200 10$aKac algebras arising from composition of subfactors $egeneral theory and classification /$fMasaki Izumi, Hideki Ksaki
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2002]
210  4$dİ2002
215   $a1 online resource (215 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 750
300   $aDescription based upon print version of record.
311   $a0-8218-2935-1 
320   $aIncludes bibliographical references and index.
327   $a""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(I??)]""; ""Chapter 4. Multiplicative unitary""; ""1. Preliminaries""; ""2. Orthonormal basis and multiplicative unitary""; ""Chapter 5. Kac algebra structure""
327   $a""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""
327   $a""2. Multiplicative unitary""""Chapter 13. 2-cocycles of Kac algebras""; ""1. Preliminaries""; ""2. Ergodic actions and 2-cocycles""; ""3. Examples I Kac-Paljutkin algebra""; ""4. Examples II Group algebras""; ""Chapter 14. Classification of Kac algebras of dimension 24""; ""1. Preliminaries""; ""2. Computation of H[sup(2)]((N, H), T )/~""; ""3. Reduction to the semi-direct product case""; ""4. Classification""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z""
410  0$aMemoirs of the American Mathematical Society ;$vno. 750.
606   $aKac-Moody algebras
615  0$aKac-Moody algebras.
676   $a510 s
676   $a512/.55
700   $aIzumi$b Masaki$f1965-$01619724
702   $aKosaki$b Hideki
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910812750003321
996   $aKac algebras arising from composition of subfactors$93952116
997   $aUNINA