The Schrödinger-Virasoro Algebra: Mathematical structure and dynamical Schrödinger symmetries
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2012
|
| Schriftenreihe: | Theoretical and Mathematical Physics
|
| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext |
| Beschreibung: | 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 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.. |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783642227172 |
| DOI: | 10.1007/978-3-642-22717-2 |
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| spelling | The Schrödinger-Virasoro Algebra Mathematical structure and dynamical Schrödinger symmetries by Jérémie Unterberger, Claude Roger Berlin, Heidelberg Springer Berlin Heidelberg 2012 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Theoretical and Mathematical Physics 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 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.. Mathematische Physik Physics Algebra Topological Groups Mathematical physics Mathematical Methods in Physics Topological Groups, Lie Groups Mathematical Physics Category Theory, Homological Algebra Statistical Physics, Dynamical Systems and Complexity Schrödinger-Virasoro-Algebra (DE-588)7843879-2 gnd rswk-swf Schrödinger-Virasoro-Algebra (DE-588)7843879-2 s 1\p DE-604 Unterberger, Jérémie 1974- Sonstige (DE-588)101923640X oth Roger, Claude 1949- Sonstige (DE-588)1019139900 oth https://doi.org/10.1007/978-3-642-22717-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | The Schrödinger-Virasoro Algebra Mathematical structure and dynamical Schrödinger symmetries Mathematische Physik Physics Algebra Topological Groups Mathematical physics Mathematical Methods in Physics Topological Groups, Lie Groups Mathematical Physics Category Theory, Homological Algebra Statistical Physics, Dynamical Systems and Complexity Schrödinger-Virasoro-Algebra (DE-588)7843879-2 gnd |
| subject_GND | (DE-588)7843879-2 |
| title | The Schrödinger-Virasoro Algebra Mathematical structure and dynamical Schrödinger symmetries |
| title_auth | The Schrödinger-Virasoro Algebra Mathematical structure and dynamical Schrödinger symmetries |
| title_exact_search | The Schrödinger-Virasoro Algebra Mathematical structure and dynamical Schrödinger symmetries |
| title_full | The Schrödinger-Virasoro Algebra Mathematical structure and dynamical Schrödinger symmetries by Jérémie Unterberger, Claude Roger |
| title_fullStr | The Schrödinger-Virasoro Algebra Mathematical structure and dynamical Schrödinger symmetries by Jérémie Unterberger, Claude Roger |
| title_full_unstemmed | The Schrödinger-Virasoro Algebra Mathematical structure and dynamical Schrödinger symmetries by Jérémie Unterberger, Claude Roger |
| title_short | The Schrödinger-Virasoro Algebra |
| title_sort | the schrodinger virasoro algebra mathematical structure and dynamical schrodinger symmetries |
| title_sub | Mathematical structure and dynamical Schrödinger symmetries |
| topic | Mathematische Physik Physics Algebra Topological Groups Mathematical physics Mathematical Methods in Physics Topological Groups, Lie Groups Mathematical Physics Category Theory, Homological Algebra Statistical Physics, Dynamical Systems and Complexity Schrödinger-Virasoro-Algebra (DE-588)7843879-2 gnd |
| topic_facet | Mathematische Physik Physics Algebra Topological Groups Mathematical physics Mathematical Methods in Physics Topological Groups, Lie Groups Mathematical Physics Category Theory, Homological Algebra Statistical Physics, Dynamical Systems and Complexity Schrödinger-Virasoro-Algebra |
| url | https://doi.org/10.1007/978-3-642-22717-2 |
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