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On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu
| On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu |
| Autore | Kashina Yevgenia <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hopf algebras
Lie superalgebras Frobenius algebras Cauchy integrals |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0459-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910479856303321 |
Kashina Yevgenia <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu
| On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu |
| Autore | Kashina Yevgenia <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hopf algebras
Lie superalgebras Frobenius algebras Cauchy integrals |
| ISBN | 1-4704-0459-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788741803321 |
|
Kashina Yevgenia <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu
| On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu |
| Autore | Kashina Yevgenia <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (82 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hopf algebras
Lie superalgebras Frobenius algebras Cauchy integrals |
| ISBN | 1-4704-0459-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910812417003321 |
|
Kashina Yevgenia <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||