Abstract
In order to classify ‘reasonable’ representations of the Virasoro algebra, V.G. Kac made the following conjecture: the Harish-Chandra representations, those for which L 0 (see Sect. 1.1.2) acts semi-simply with finite-dimensional eigenspaces, are either highest- (or lowest-) weight modules, or tensor density modules.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Unterberger, J., Roger, C. (2012). Coinduced Representations. In: The Schrödinger-Virasoro Algebra. Theoretical and Mathematical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22717-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-22717-2_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22716-5
Online ISBN: 978-3-642-22717-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)