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001			EBC3114251
003			MiAaPQ
005			20240729124604.0
006			m o d |
007			cr cnu||||||||
008			240724s2006 xx o ||||0 eng d
020			_a9781470404598 _q(electronic bk.)
020			_z9780821838860
035			_a(MiAaPQ)EBC3114251
035			_a(Au-PeEL)EBL3114251
035			_a(CaPaEBR)ebr11039870
035			_a(OCoLC)922981785
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA613.8 -- .K37 2006eb
082	0		_a510 s;512/.55
100	1		_aKashina, Yevgenia.
245	1	0	_aOn Higher Frobenius-Schur Indicators.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2006.
264		4	_c©2006.
300			_a1 online resource (82 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.181
505	0		_aIntro -- 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.
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	_aLie superalgebras.
650		0	_aFrobenius algebras.
650		0	_aCauchy integrals.
655		4	_aElectronic books.
700	1		_aSommerhäuser, Yorck.
700	1		_aZhu, Yongchang.
776	0	8	_iPrint version: _aKashina, Yevgenia _tOn Higher Frobenius-Schur Indicators _dProvidence : American Mathematical Society,c2006 _z9780821838860
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114251 _zClick to View
999			_c69782 _d69782