Representations of the Schrödinger-Virasoro algebras

Abstract

In this paper it is proved that an irreducible weight module with finite-dimensional weight spaces over the Schrödinger-Virasoro algebras is a highest/lowest weight module or a uniformly bounded module. Furthermore, indecomposable modules of the intermediate series over these algebras are completely determined.

arXiv comment15 pages

References in corpus (7)

• SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems
• Phenomenology of local scale invariance: from conformal invariance to dynamical scaling
• Schr"odinger invariance and space-time symmetries
• Classification of Harish-Chandra Modules over the Higher Rank Virasoro Algebras
• Looped cotangent Virasoro algebra and non-linear integrable systems in dimension 2+1
• The Schrödinger-Virasoro Lie group and algebra: from geometry to representation theory
• A one-dimensional model for the growth of CdTe quantum dots on Si substrates

Cited by in corpus (5)

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