| The Schrödinger-Virasoro Algebra: Mathematical Structure and Dynamical Schrödinger Symmetries 2012 Edition Contributor(s): Unterberger, Jérémie (Author), Roger, Claude (Author) |
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ISBN: 3642227163 ISBN-13: 9783642227165 Publisher: Springer OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: October 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Science | Physics - Mathematical & Computational - Mathematics | Group Theory |
| Dewey: 512.55 |
| Series: Theoretical and Mathematical Physics |
| Physical Information: 0.81" H x 6.14" W x 9.21" (1.45 lbs) 302 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 r le 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. |
