|
|
|
|
LEADER |
03467nam a22005655i 4500 |
001 |
978-3-642-22717-2 |
003 |
DE-He213 |
005 |
20151204180600.0 |
007 |
cr nn 008mamaa |
008 |
111024s2012 gw | s |||| 0|eng d |
020 |
|
|
|a 9783642227172
|9 978-3-642-22717-2
|
024 |
7 |
|
|a 10.1007/978-3-642-22717-2
|2 doi
|
040 |
|
|
|d GrThAP
|
050 |
|
4 |
|a QC5.53
|
072 |
|
7 |
|a PHU
|2 bicssc
|
072 |
|
7 |
|a SCI040000
|2 bisacsh
|
082 |
0 |
4 |
|a 530.15
|2 23
|
100 |
1 |
|
|a Unterberger, Jérémie.
|e author.
|
245 |
1 |
4 |
|a The Schrödinger-Virasoro Algebra
|h [electronic resource] :
|b Mathematical structure and dynamical Schrödinger symmetries /
|c by Jérémie Unterberger, Claude Roger.
|
264 |
|
1 |
|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2012.
|
300 |
|
|
|a XLII, 302 p.
|b online resource.
|
336 |
|
|
|a text
|b txt
|2 rdacontent
|
337 |
|
|
|a computer
|b c
|2 rdamedia
|
338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
347 |
|
|
|a text file
|b PDF
|2 rda
|
490 |
1 |
|
|a Theoretical and Mathematical Physics,
|x 1864-5879
|
505 |
0 |
|
|a Introduction -- 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 |
|
|
|a This 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 |
|a Physics.
|
650 |
|
0 |
|a Category theory (Mathematics).
|
650 |
|
0 |
|a Homological algebra.
|
650 |
|
0 |
|a Topological groups.
|
650 |
|
0 |
|a Lie groups.
|
650 |
|
0 |
|a Mathematical physics.
|
650 |
|
0 |
|a Statistical physics.
|
650 |
|
0 |
|a Dynamical systems.
|
650 |
1 |
4 |
|a Physics.
|
650 |
2 |
4 |
|a Mathematical Methods in Physics.
|
650 |
2 |
4 |
|a Topological Groups, Lie Groups.
|
650 |
2 |
4 |
|a Mathematical Physics.
|
650 |
2 |
4 |
|a Category Theory, Homological Algebra.
|
650 |
2 |
4 |
|a Statistical Physics, Dynamical Systems and Complexity.
|
700 |
1 |
|
|a Roger, Claude.
|e author.
|
710 |
2 |
|
|a SpringerLink (Online service)
|
773 |
0 |
|
|t Springer eBooks
|
776 |
0 |
8 |
|i Printed edition:
|z 9783642227165
|
830 |
|
0 |
|a Theoretical and Mathematical Physics,
|x 1864-5879
|
856 |
4 |
0 |
|u http://dx.doi.org/10.1007/978-3-642-22717-2
|z Full Text via HEAL-Link
|
912 |
|
|
|a ZDB-2-PHA
|
950 |
|
|
|a Physics and Astronomy (Springer-11651)
|