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The Hilbert function of a level algebra / / Anthony V. Geramita, [and others]
| The Hilbert function of a level algebra / / Anthony V. Geramita, [and others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina | 512.64 |
| Collana | Memoirs of the American Mathematical Society, ;Number 872 |
| Soggetto topico |
Characteristic functions
Algebra, Homological |
| ISBN | 1-4704-0476-1 |
| Classificazione | 31.23 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Part 1. Nonexistence and Existence""; ""Chapter 1. Introduction""; ""Chapter 2. Numerical Conditions""; ""Chapter 3. Homological Methods""; ""Chapter 4. Some Refinements""; ""Chapter 5. Constructing Artinian Level Algebras""; ""5.1. Inverse Systems""; ""5.2. Level Quotients of the Co-ordinate Rings of Points""; ""5.3. Constructing Level Algebras with the WLP""; ""5.4. The Linked-Sum Method""; ""Chapter 6. Constructing Level Sets of Points""; ""6.1. Method 1: Intersection of Suitable Curves""; ""6.2. Method 2: Liaison Tricks""
""6.3. Method 3: Union of suitable sets of points""""6.4. Method 4: General Sets of Points on Suitable curves""; ""Chapter 7. Expected Behavior""; ""Part 2. Appendix: A Classification of Codimension Three Level Algebras of Low Socle Degree""; ""Appendix A. Introduction and Notation""; ""Appendix B. Socle Degree 6 and Type 2""; ""Appendix C. Socle Degree 5""; ""Appendix D. Socle Degree 4""; ""Appendix E. Socle Degree 3""; ""Appendix F. Summary""; ""Appendix. Bibliography"" |
| Record Nr. | UNINA-9910788743903321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Hilbert function of a level algebra / / Anthony V. Geramita, [and others]
| The Hilbert function of a level algebra / / Anthony V. Geramita, [and others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina | 512.64 |
| Collana | Memoirs of the American Mathematical Society, ;Number 872 |
| Soggetto topico |
Characteristic functions
Algebra, Homological |
| ISBN | 1-4704-0476-1 |
| Classificazione | 31.23 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Part 1. Nonexistence and Existence""; ""Chapter 1. Introduction""; ""Chapter 2. Numerical Conditions""; ""Chapter 3. Homological Methods""; ""Chapter 4. Some Refinements""; ""Chapter 5. Constructing Artinian Level Algebras""; ""5.1. Inverse Systems""; ""5.2. Level Quotients of the Co-ordinate Rings of Points""; ""5.3. Constructing Level Algebras with the WLP""; ""5.4. The Linked-Sum Method""; ""Chapter 6. Constructing Level Sets of Points""; ""6.1. Method 1: Intersection of Suitable Curves""; ""6.2. Method 2: Liaison Tricks""
""6.3. Method 3: Union of suitable sets of points""""6.4. Method 4: General Sets of Points on Suitable curves""; ""Chapter 7. Expected Behavior""; ""Part 2. Appendix: A Classification of Codimension Three Level Algebras of Low Socle Degree""; ""Appendix A. Introduction and Notation""; ""Appendix B. Socle Degree 6 and Type 2""; ""Appendix C. Socle Degree 5""; ""Appendix D. Socle Degree 4""; ""Appendix E. Socle Degree 3""; ""Appendix F. Summary""; ""Appendix. Bibliography"" |
| Record Nr. | UNINA-9910827663303321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semisolvability of semisimple Hopf algebras of low dimension / / Sonia Natale
| Semisolvability of semisimple Hopf algebras of low dimension / / Sonia Natale |
| Autore | Natale Sonia <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 512.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hopf algebras
Quantum groups |
| ISBN | 1-4704-0478-8 |
| Classificazione | 31.23 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction and Main Results""; ""Conventions and Notation""; ""Chapter 1. Semisimple Hopf Algebras""; ""1.1. Algebra structure""; ""1.2. Irreducible characters""; ""1.3. Coinvariants of Hopf algebra maps""; ""1.4. Yetter- Drinfeld modules""; ""1.5. Yetter- Drinfeld modules and the character algebra""; ""1.6. One dimensional Yetter- Drinfeld modules""; ""1.7. H[sup(coB)] as a left coideal of H""; ""Chapter 2. The Nichols-Richmond Theorem""; ""2.1. Irreducible characters of degree 2""; ""2.2. The Nichols-Richmond theorem""; ""2.3. An application to D(H)""
""2.4. Existence of proper Hopf subalgebras""""2.5. Hopf subalgebras of index 3""; ""Chapter 3. Quotient Coalgebras""; ""3.1. A multiplicity formula""; ""3.2. Stable subcoalgebras""; ""3.3. Quotients modulo group- like Hopf subalgebras""; ""3.4. On the structure of G(H)""; ""3.5. A criterion of normality""; ""Chapter 4. Braided Hopf Algebras""; ""4.1. Radford- Majid biproduct construction""; ""4.2. Coalgebra structure of R""; ""4.3. Hopf subalgebras""; ""4.4. Biproducts over finite groups""; ""4.5. Cocommutative braided Hopf algebras"" ""4.6. Cocommutative braided Hopf algebras over Z[sub(p)]""""4.7. Transitive actions of central subgroups""; ""Chapter 5. Cocycle Deformations of Some Hopf Algebras""; ""5.1. Lifting from abelian groups""; ""5.2. Examples in dimension pq[sup(2)]; p = 1 mod q""; ""5.3. Examples in dimension pq[sup(2)]; q = 1 mod p""; ""5.4. Normal Hopf subalgebras in cocycle twists""; ""Chapter 6. Dimension 24""; ""6.1. Possible (co)-algebra structures""; ""6.2. Upper and lower semisolvability""; ""Chapter 7. Dimension 30""; ""7.1. Possible (co)-algebra structures""; ""7.2. Classification"" ""Chapter 8. Dimension 36""""8.1. Reduction of the problem""; ""8.2. Main result""; ""Chapter 9. Dimension 40""; ""9.1. Reduction of the problem""; ""9.2. Main result""; ""Chapter 10. Dimension 42""; ""10.1. Possible (co)-algebra structures""; ""10.2. Classification""; ""Chapter 11. Dimension 48""; ""11.1. First reduction""; ""11.2. Further reductions""; ""11.3. Main result up to cocycle twists""; ""11.4. Main result""; ""Chapter 12. Dimension 54""; ""12.1. First reduction""; ""12.2. Main result""; ""Chapter 13. Dimension 56""; ""13.1. First reduction""; ""13.2. Main result"" ""Appendix A. Drinfeld Double of H[sub(8)]""""A.1. Structure of D(H[sub(8)])""; ""A.2. Proof of Theorem A.1.1""; ""A.3. Proof of Theorem A.1.2""; ""Bibliography"" |
| Record Nr. | UNINA-9910788743703321 |
Natale Sonia <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semisolvability of semisimple Hopf algebras of low dimension / / Sonia Natale
| Semisolvability of semisimple Hopf algebras of low dimension / / Sonia Natale |
| Autore | Natale Sonia <1972-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (138 p.) |
| Disciplina | 512.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hopf algebras
Quantum groups |
| ISBN | 1-4704-0478-8 |
| Classificazione | 31.23 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction and Main Results""; ""Conventions and Notation""; ""Chapter 1. Semisimple Hopf Algebras""; ""1.1. Algebra structure""; ""1.2. Irreducible characters""; ""1.3. Coinvariants of Hopf algebra maps""; ""1.4. Yetter- Drinfeld modules""; ""1.5. Yetter- Drinfeld modules and the character algebra""; ""1.6. One dimensional Yetter- Drinfeld modules""; ""1.7. H[sup(coB)] as a left coideal of H""; ""Chapter 2. The Nichols-Richmond Theorem""; ""2.1. Irreducible characters of degree 2""; ""2.2. The Nichols-Richmond theorem""; ""2.3. An application to D(H)""
""2.4. Existence of proper Hopf subalgebras""""2.5. Hopf subalgebras of index 3""; ""Chapter 3. Quotient Coalgebras""; ""3.1. A multiplicity formula""; ""3.2. Stable subcoalgebras""; ""3.3. Quotients modulo group- like Hopf subalgebras""; ""3.4. On the structure of G(H)""; ""3.5. A criterion of normality""; ""Chapter 4. Braided Hopf Algebras""; ""4.1. Radford- Majid biproduct construction""; ""4.2. Coalgebra structure of R""; ""4.3. Hopf subalgebras""; ""4.4. Biproducts over finite groups""; ""4.5. Cocommutative braided Hopf algebras"" ""4.6. Cocommutative braided Hopf algebras over Z[sub(p)]""""4.7. Transitive actions of central subgroups""; ""Chapter 5. Cocycle Deformations of Some Hopf Algebras""; ""5.1. Lifting from abelian groups""; ""5.2. Examples in dimension pq[sup(2)]; p = 1 mod q""; ""5.3. Examples in dimension pq[sup(2)]; q = 1 mod p""; ""5.4. Normal Hopf subalgebras in cocycle twists""; ""Chapter 6. Dimension 24""; ""6.1. Possible (co)-algebra structures""; ""6.2. Upper and lower semisolvability""; ""Chapter 7. Dimension 30""; ""7.1. Possible (co)-algebra structures""; ""7.2. Classification"" ""Chapter 8. Dimension 36""""8.1. Reduction of the problem""; ""8.2. Main result""; ""Chapter 9. Dimension 40""; ""9.1. Reduction of the problem""; ""9.2. Main result""; ""Chapter 10. Dimension 42""; ""10.1. Possible (co)-algebra structures""; ""10.2. Classification""; ""Chapter 11. Dimension 48""; ""11.1. First reduction""; ""11.2. Further reductions""; ""11.3. Main result up to cocycle twists""; ""11.4. Main result""; ""Chapter 12. Dimension 54""; ""12.1. First reduction""; ""12.2. Main result""; ""Chapter 13. Dimension 56""; ""13.1. First reduction""; ""13.2. Main result"" ""Appendix A. Drinfeld Double of H[sub(8)]""""A.1. Structure of D(H[sub(8)])""; ""A.2. Proof of Theorem A.1.1""; ""A.3. Proof of Theorem A.1.2""; ""Bibliography"" |
| Record Nr. | UNINA-9910819099303321 |
|
Natale Sonia <1972->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||