The Schrödinger-Virasoro algebra : mathematical structure and dynamical Schrödinger symmetries

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-d...

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Detalles Bibliográficos
Auteurs principaux: Unterberger, Jérémie, 19..-, Roger, Claude, 1949-...., mathématicien (Auteur)
Outros autores: Henkel, Malte, 1960-...., physicien (Auteur de l'introduction, etc.)
Formato: Livre numérique
Idioma:Anglais
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edición:1st ed. 2012.
Series:Theoretical and Mathematical Physics
Sujets:
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Edition sous un autre format:• The Schrödinger-Virasoro Algebra, Texte imprimé, 9783642269592
• The Schrödinger-Virasoro Algebra, Texte imprimé, 9783642227189
• The Schrödinger-Virasoro algebra, mathematical structure and dynamical Schrödinger symmetries, Jérémie Unterberger, Claude Roger, 2012, Berlin, Springer-Verlag, 1 vol. (XLII-302 p.), Theorical and Mathematical Physics, 978-3-642-22716-5
Descripción
Résumé: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. .
descrición da copia:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783642227172
ISSN:1864-5887
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