The Schrödinger-Virasoro Algebra

The Schrödinger-Virasoro Algebra

Claude Roger / Jérémie Unterberger

66,02 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2013
ISBN:
9783642269592
66,02 €
IVA incluido
Disponible

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Sobre IBD

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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Otros libros del autor

  • The Schrödinger-Virasoro Algebra
    Claude Roger / Jérémie Unterberger
    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 Operato...