On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu

• Record Nr.: UNINA9910479856303321
• Autore: Kashina Yevgenia <1971->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2006]; ©2006
• ISBN: 1-4704-0459-1
• Descrizione fisica: 1 online resource (82 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 855
• Disciplina: 510 s; 512/.55
• Soggetti: Hopf algebras; Lie superalgebras; Frobenius algebras; Cauchy integrals; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Volume 181, number 855 (fourth of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references (pages 59-60) and indexes.
• Nota di contenuto: ""Contents""; ""Introduction""; ""Chapter 1. The Calculus of Sweedler Powers""; ""1.1. Monotone maps""; ""1.2. The union of the symmetric groups""; ""1.3. Bialgebras""; ""1.4. A monoid""; ""1.5. Permutations from sequences""; ""1.6. Sweedler powers""; ""Chapter 2. Frobenius-Schur Indicators""; ""2.1. Central Sweedler powers""; ""2.2. The coproduct of the Sweedler powers""; ""2.3. The first formula for the Frobenius-Schur indicators""; ""2.4. The Frobenius-Schur theorem""; ""2.5. Frobenius-Schur indicators of the regular representation""; ""Chapter 3. The Exponent""; ""3.1. The exponent""; ""3.2. The second formula for the Frobenius-Schur indicators""""3.3. Sweedler powers of the integral""; ""3.4. Cauchy's theorem""; ""Chapter 4. The Order""; ""4.1. Order and multiplicity""; ""4.2. The divisibility theorem""; ""4.3. An example""; ""4.4. The dimension of the simple modules""; ""Chapter 5. The Index""; ""5.1. Indecomposable matrices""; ""5.2. The normal form""; ""5.3. The Perron-Frobenius theorem""; ""5.4. The index formula""; ""Chapter 6. The Drinfel'd Double""; ""6.1. The ; Drinfel'd double""; ""6.2. Factorizability""; ""6.3. The center of the character ring""; ""6.4. The third formula for the Frobenius-Schur indicators""""Chapter 7. Examples""; ""7.1. A class of extensions""; ""7.2. The coefficients""; ""7.3. Sweedler powers of the integral""; ""7.4. The simple modules""; ""7.5. Nonintegral indicators""; ""7.6. Noncocommutative Sweedler powers""; ""7.7. Noncentral Sweedler powers""; ""Bibliography""; ""Subject Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Symbol Index""