000			03291nam a22005175i 4500
001			978-3-642-22717-2
003			DE-He213
005			20140220083259.0
007			cr nn 008mamaa
008			111024s2012 gw | s |||| 0|eng d
020			_a9783642227172 _9978-3-642-22717-2
024	7		_a10.1007/978-3-642-22717-2 _2doi
050		4	_aQC5.53
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.15 _223
100	1		_aUnterberger, Jérémie. _eauthor.
245	1	4	_aThe Schrödinger-Virasoro Algebra _h[electronic resource] : _bMathematical structure and dynamical Schrödinger symmetries / _cby Jérémie Unterberger, Claude Roger.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2012.
300			_aXLII, 302 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aTheoretical and Mathematical Physics, _x1864-5879
505	0		_aIntroduction -- Geometric Definitions of SV -- Basic Algebraic and Geometric Features -- Coadjoint Representaion -- Induced Representations and Verma Modules -- Coinduced Representations -- Vertex Representations -- Cohomology, Extensions and Deformations -- Action of sv on Schrödinger and Dirac Operators -- Monodromy of Schrödinger Operators -- Poisson Structures and Schrödinger Operators -- Supersymmetric Extensions of sv -- Appendix to chapter 6 -- Appendix to chapter 11 -- Index.
520			_aThis monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure—the Schrödinger-Virasoro algebra. Just as Poincaré invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries may be expected to apply itself naturally to the study of some models of non-equilibrium statistical physics, or more specifically in the context of recent developments related to the non-relativistic AdS/CFT correspondence.   The study of the structure of this infinite-dimensional Lie algebra touches upon topics as various as statistical physics, vertex algebras, Poisson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinite-dimensional Lie algebras, and the spectral theory of Schrödinger operators. .
650		0	_aPhysics.
650		0	_aAlgebra.
650		0	_aTopological Groups.
650		0	_aMathematical physics.
650	1	4	_aPhysics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aTopological Groups, Lie Groups.
650	2	4	_aMathematical Physics.
650	2	4	_aCategory Theory, Homological Algebra.
650	2	4	_aStatistical Physics, Dynamical Systems and Complexity.
700	1		_aRoger, Claude. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642227165
830		0	_aTheoretical and Mathematical Physics, _x1864-5879
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-22717-2
912			_aZDB-2-PHA
999			_c102077 _d102077