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|a 9783642227172
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|a Unterberger, Jérémie
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|a The Schrödinger-Virasoro Algebra
|h Elektronische Ressource
|b Mathematical structure and dynamical Schrödinger symmetries
|c by Jérémie Unterberger, Claude Roger
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| 250 |
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|a 1st ed. 2012
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2012, 2012
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| 300 |
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|a XLII, 302 p
|b online resource
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|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
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| 653 |
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|a Complex Systems
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| 653 |
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|a Topological Groups and Lie Groups
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| 653 |
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|a Lie groups
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| 653 |
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|a Topological groups
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|a Algebra, Homological
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| 653 |
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|a Mathematical Physics
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|a System theory
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Category Theory, Homological Algebra
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| 653 |
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|a Theoretical, Mathematical and Computational Physics
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| 653 |
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|a Mathematical Methods in Physics
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| 700 |
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|a Roger, Claude
|e [author]
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| 041 |
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|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Theoretical and Mathematical Physics
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| 028 |
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|a 10.1007/978-3-642-22717-2
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| 856 |
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|u https://doi.org/10.1007/978-3-642-22717-2?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 530.15
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| 520 |
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|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.
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