000			03374nam a22005415i 4500
001			978-0-85729-160-8
003			DE-He213
005			20140220083712.0
007			cr nn 008mamaa
008			101112s2011 xxk| s |||| 0|eng d
020			_a9780857291608 _9978-0-85729-160-8
024	7		_a10.1007/978-0-85729-160-8 _2doi
050		4	_aQA150-272
072		7	_aPBF _2bicssc
072		7	_aMAT002000 _2bisacsh
082	0	4	_a512 _223
100	1		_aIohara, Kenji. _eauthor.
245	1	0	_aRepresentation Theory of the Virasoro Algebra _h[electronic resource] / _cby Kenji Iohara, Yoshiyuki Koga.
264		1	_aLondon : _bSpringer London, _c2011.
300			_aXVIII, 474 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aPreliminary -- Classification of Harish-Chandra Modules -- The Jantzen Filtration -- Determinant Formulae -- Verma Modules I: Preliminaries -- Verma Modules II: Structure Theorem -- A Duality among Verma Modules -- Fock Modules -- Rational Vertex Operator Algebras -- Coset Constructions for sl2 -- Unitarisable Harish-Chandra Modules -- Homological Algebras -- Lie p-algebras -- Vertex Operator Algebras.
520			_aThe Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics. This book describes some fundamental facts about the representation theory of the Virasoro algebra in a self-contained manner. Topics include the structure of Verma modules and Fock modules, the classification of (unitarizable) Harish-Chandra modules, tilting equivalence, and the rational vertex operator algebras associated to the so-called minimal series representations. Covering a wide range of material, this book has three appendices which provide background information required for some of the chapters. Fundamental results are organized in a unified way and existing proofs refined. For instance in chapter three, a generalization of Jantzen filtration is reformulated in an algebraic manner, and geometric interpretation is provided. Statements, widely believed to be true, are collated, and results which are known but not verified are proven, such as the corrected structure theorem of Fock modules in chapter eight. This book will be of interest to a wide range of mathematicians and physicists from the level of graduate students to researchers.
650		0	_aMathematics.
650		0	_aAlgebra.
650		0	_aTopological Groups.
650		0	_aFunctions, special.
650		0	_aCombinatorics.
650	1	4	_aMathematics.
650	2	4	_aAlgebra.
650	2	4	_aNon-associative Rings and Algebras.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
650	2	4	_aTopological Groups, Lie Groups.
650	2	4	_aSpecial Functions.
650	2	4	_aCombinatorics.
700	1		_aKoga, Yoshiyuki. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780857291592
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-85729-160-8
912			_aZDB-2-SMA
999			_c105145 _d105145