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001			EBC3114105
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006			m o d |
007			cr cnu||||||||
008			240724s2007 xx o ||||0 eng d
020			_a9781470404789 _q(electronic bk.)
020			_z9780821839485
035			_a(MiAaPQ)EBC3114105
035			_a(Au-PeEL)EBL3114105
035			_a(CaPaEBR)ebr11039724
035			_a(OCoLC)922981671
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA613.8 -- .N38 2007eb
082	0		_a512.55
100	1		_aNatale, Sonia.
245	1	0	_aSemisolvability of Semisimple Hopf Algebras of Low Dimension.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2007.
264		4	_c©2007.
300			_a1 online resource (138 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.186
505	0		_aIntro -- 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.
505	8		_a10.2. 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.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aHopf algebras.
650		0	_aQuantum groups.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aNatale, Sonia _tSemisolvability of Semisimple Hopf Algebras of Low Dimension _dProvidence : American Mathematical Society,c2007 _z9780821839485
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114105 _zClick to View
999			_c69636 _d69636