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001			EBC3114487
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005			20240729124609.0
006			m o d |
007			cr cnu||||||||
008			240724s1999 xx o ||||0 eng d
020			_a9781470402686 _q(electronic bk.)
020			_z9780821813614
035			_a(MiAaPQ)EBC3114487
035			_a(Au-PeEL)EBL3114487
035			_a(CaPaEBR)ebr11041265
035			_a(OCoLC)922964937
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA613.8 -- .L98 1999eb
082	0		_a512/.55
100	1		_aLyubashenko, Volodymyr V.
245	1	0	_aSquared Hopf Algebras.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1999.
264		4	_c©1999.
300			_a1 online resource (197 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.142
505	0		_aIntro -- Contents -- Introduction -- Chapter 1. Tools -- 1.1. Tensor product of abelian categories -- 1.2. Monoidal categories -- 1.3. Monoidal abelian categories -- 1.4. Symmetric monoidal 2-category of abelian categories -- 1.5. System of notations -- 1.6. Monoidal structures on V [omitted] V -- 1.7. Ind-objects -- 1.8. Rigid-abelian categories -- Chapter 2. Squared coalgebras -- 2.1. Definitions -- 2.2. Comodules -- 2.3. The fundamental theorem on coalgebras -- 2.4. Relationship between categories of comodules -- 2.5. The category of fibre functors -- 2.6. Reconstruction theorems -- 2.7. Comodules over ordinary coalgebras -- 2.8. Construction data -- Chapter 3. Squared bicoalgebras -- 3.1. Tensor product of squared coalgebras -- 3.2. Bicoalgebras -- 3.3. Monoidal construction data -- 3.4. Tensor generators and relations -- 3.5. Relationship with braided bialgebras -- 3.6. Commutative algebras and braiding -- Chapter 4. Hopf coalgebras -- 4.1. Opposite coalgebras -- 4.2. Comparison with opposite coalgebra in braided case -- 4.3. The antipode -- 4.4. Comparison with braided Hopf algebras -- 4.5. Multiplication in the opposite bialgebra -- 4.6. Reconstruction of rigid monoidal categories -- Chapter 5. Quasitriangular Hopf coalgebras -- 5.1. R-matrices in Hopf coalgebras -- 5.2. Braiding for comodules over a braided Hopf algebra -- 5.3. Constructing braided categories -- 5.4. Ribbon Hopf coalgebras -- 5.5. Ribbon reconstruction -- Appendix A. Symmetric monoidal 2-categories -- A.1. A review of 2-categories -- A.2. 2-pasting schemes -- A.3. Weak 2-pasting -- A.4. Weak 3-categories -- A.5. A monoidal 2-category of abelian categories -- A.6. Symmetric monoidal 2-categories -- A.7. A symmetric monoidal 2-category of abelian categories -- 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.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aLyubashenko, Volodymyr V. _tSquared Hopf Algebras _dProvidence : American Mathematical Society,c1999 _z9780821813614
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114487 _zClick to View
999			_c69982 _d69982