Title The Schr??dinger-Virasoro Algebra : Mathematical structure and dynamical Schr??dinger symmetries Author(s) Unterberger, J??r??mie;Roger, Claude Publication Berlin, Heidelberg, Springer Berlin Heidelberg, 2012. Description XLII, 302 p : online resource Abstract Note This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure???the Schr??dinger-Virasoro algebra. Just as Poincar?? 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 Schr??dinger operators. ISBN,Price 9783642227172 Keyword(s) 1. Category theory (Mathematics) 2. Category Theory, Homological Algebra 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. Homological algebra 8. LIE GROUPS 9. Mathematical Methods in Physics 10. MATHEMATICAL PHYSICS 11. PHYSICS 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. TOPOLOGICAL GROUPS 15. Topological Groups, Lie Groups Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I08215     On Shelf