000			03294nam a22005655i 4500
001			978-0-85729-850-8
003			DE-He213
005			20140220083715.0
007			cr nn 008mamaa
008			110718s2011 xxk| s |||| 0|eng d
020			_a9780857298508 _9978-0-85729-850-8
024	7		_a10.1007/978-0-85729-850-8 _2doi
050		4	_aQA150-272
072		7	_aPBF _2bicssc
072		7	_aMAT002000 _2bisacsh
082	0	4	_a512 _223
100	1		_aArad, Zvi. _eauthor.
245	1	0	_aOn Normalized Integral Table Algebras (Fusion Rings) _h[electronic resource] : _bGenerated by a Faithful Non-real Element of Degree 3 / _cby Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk.
264		1	_aLondon : _bSpringer London : _bImprint: Springer, _c2011.
300			_aX, 274 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aAlgebra and Applications, _x1572-5553 ; _v16
505	0		_aIntroduction -- Splitting the Main Problem into Four Sub-cases -- A Proof of a Non-existence Sub-case (2) -- Preliminary Classification of Sub-case (2) -- Finishing the Proofs of the Main Results.
520			_aThe theory of table algebras was introduced in 1991 by Z. Arad and H.Blau in order to treat, in a uniform way, products of conjugacy classes and irreducible characters of finite groups.  Today, table algebra theory is a well-established branch of modern algebra with various applications, including  the representation theory of finite groups, algebraic combinatorics and fusion rules algebras. This book presents the latest developments in this area.  Its main goal is to  give a classification of the Normalized Integral Table Algebras (Fusion Rings) generated by a faithful non-real element of degree 3. Divided into 4 parts, the first gives an outline of the classification approach, while remaining parts separately treat special cases that appear during classification. A particularly unique contribution to the field, can be found in part four, whereby a number of the algebras are linked to the polynomial irreducible representations of the group SL3(C). This book will be of interest to research mathematicians and PhD students working in table algebras, group representation theory, algebraic combinatorics and integral fusion rule algebras.
650		0	_aMathematics.
650		0	_aAlgebra.
650		0	_aGroup theory.
650		0	_aCombinatorics.
650	1	4	_aMathematics.
650	2	4	_aAlgebra.
650	2	4	_aCommutative Rings and Algebras.
650	2	4	_aGroup Theory and Generalizations.
650	2	4	_aCombinatorics.
650	2	4	_aGraph Theory.
700	1		_aBangteng, Xu. _eauthor.
700	1		_aChen, Guiyun. _eauthor.
700	1		_aCohen, Effi. _eauthor.
700	1		_aHaj Ihia Hussam, Arisha. _eauthor.
700	1		_aMuzychuk, Mikhail. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780857298492
830		0	_aAlgebra and Applications, _x1572-5553 ; _v16
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-85729-850-8
912			_aZDB-2-SMA
999			_c105286 _d105286