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

✍ Scribed by Jérémie Unterberger; Claude Roger

Publisher
Springer
Year
2012
Tongue
English
Leaves
334
Series
Theoretical and mathematical physics; Theoretical and mathematical physics (Springer (Firm))
Category
Library
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✦ Synopsis

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

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