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[null,"1.","Record Nr.",null,"UNINA9910819099303321"]
[null,null,"Autore",null,"Natale Sonia <1972->"]
[null,null,"Titolo",null,"Semisolvability of semisimple Hopf algebras of low dimension / / Sonia Natale"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2007"]
[{"$nulls":4},"©2007"]
[null,null,"ISBN",null,"1-4704-0478-8"]
[null,null,"Descrizione fisica",null,"1 online resource (138 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 186, Number 874"]
[null,null,"Classificazione",null,"31.23"]
[null,null,"Disciplina",null,"512.55"]
[null,null,"Soggetti",null,"Hopf algebras"]
[{"$nulls":4},"Quantum groups"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 186, Number 874 (fourth of five numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"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)\"\""]
[{"$nulls":4},"\"\"2.4. Existence of proper Hopf subalgebras\"\"\"\"2.5. Hopf subalgebras of index 3\"\"; \"\"Chapter 3. Quotient Coalgebras\"\"; \"\"3.1. A multiplicity formula\"\"; \"\"3.2. Stable subcoalgebras\"\"; \"\"3.3. Quotients modulo group- like Hopf subalgebras\"\"; \"\"3.4. On the structure of G(H)\"\"; \"\"3.5. A criterion of normality\"\"; \"\"Chapter 4. Braided Hopf Algebras\"\"; \"\"4.1. Radford- Majid biproduct construction\"\"; \"\"4.2. Coalgebra structure of R\"\"; \"\"4.3. Hopf subalgebras\"\"; \"\"4.4. Biproducts over finite groups\"\"; \"\"4.5. Cocommutative braided Hopf algebras\"\""]
[{"$nulls":4},"\"\"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 "]
[{"$nulls":4},"semisolvability\"\"; \"\"Chapter 7. Dimension 30\"\"; \"\"7.1. Possible (co)-algebra structures\"\"; \"\"7.2. Classification\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"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\"\""]