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EBOOK
Author Unterberger, Jérémie.
Title The Schrodinger-Virasoro algebra : mathematical structure and dynamical Schrodinger symmetries / by Jeremie Unterberger, Claude Roger ; with a foreword by Malte Henkel.
Imprint Heidelberg ; New York : Springer-Verlag Berlin Heidelberg, 2012.

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Series Theoretical and mathematical physics, 1864-5879
Theoretical and mathematical physics.
Theoretical and mathematical physics (Springer (Firm))
Subject Lie algebras.
Symmetry (Physics)
Space and time.
Physics
Algebra
Topological Groups
Mathematical physics
Mathematical Methods in Physics
Topological Groups, Lie Groups
Category Theory, Homological Algebra
Statistical Physics, Dynamical Systems and Complexity
Alt Name Roger, Claude.
LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
View online
Series Theoretical and mathematical physics, 1864-5879
Theoretical and mathematical physics.
Theoretical and mathematical physics (Springer (Firm))
Subject Lie algebras.
Symmetry (Physics)
Space and time.
Physics
Algebra
Topological Groups
Mathematical physics
Mathematical Methods in Physics
Topological Groups, Lie Groups
Category Theory, Homological Algebra
Statistical Physics, Dynamical Systems and Complexity
Alt Name Roger, Claude.
Description 1 online resource (xlii, 302 pages).
Bibliography Note Includes bibliographical references (pages 293-297) and index.
Contents 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 Schrodinger and Dirac Operators -- Monodromy of Schrodinger Operators -- Poisson Structures and Schrodinger Operators -- Supersymmetric Extensions of sv -- Appendix to chapter 6 -- Appendix to chapter 11 -- Index.
Summary This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure-the Schrodinger-Virasoro algebra. Just as Poincare 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 Schrodinger operators.
Note Print version record.
ISBN 9783642227172 (electronic bk.)
3642227171 (electronic bk.)
3642227163
9783642227165
ISBN/ISSN 10.1007/978-3-642-22717-2
9786613451743
OCLC # 759858887
Additional Format Print version: Unterberger, Jeremie. Schrodinger-Virasoro algebra. Heidelberg ; New York : Springer-Verlag Berlin Heidelberg, 2012 9783642227172