ENGLISH

The Schrödinger-Virasoro Algebra: Mathematical structure and dynamical Schrödinger symmetries

By Jérémie Unterberger , Claude Roger (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2012
ISBN
978-3-642-22716-5, 978-3-642-22717-2
DOI
10.1007/978-3-642-22717-2
Language
english
Format
PDF
Filesize
3 MB (3505828 bytes)
Series
Theoretical and Mathematical Physics
Edition
1
Pages
302\333
Topic
Mathematics Algebra
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Dynamical Systems and ComplexityHomological Algebra;Statistical PhysicsLie Groups;Mathematical Physics;Category TheoryMathematical Methods in Physics;Topological Groups

Description

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 rôle 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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