Article
Licensed
Unlicensed
Requires Authentication
Geometric quantization and Zuckerman models of semisimple Lie groups
-
Meng-Kiat Chuah
Published/Copyright:
September 19, 2007
Abstract
Let G be a real semisimple Lie group. We equip invariant presymplectic forms ω to some fibration X over the flag domain of G. By applying geometric quantization to (X, ω), we obtain a unitary G-representation ℋ whose subrepresentations are infinitesimally equivalent to the Zuckerman modules. The occurence of the Zuckerman modules in ℋ are controlled by the image of the moment map of ω. This leads to our notion of Zuckerman model.
Received: 2005-01-13
Revised: 2005-08-22
Published Online: 2007-09-19
Published in Print: 2007-09-19
© Walter de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- On 2-spherical Kac-Moody groups and their central extensions
- 2-primary v1-periodic homotopy groups of SU(n) revisited
- Geometric quantization and Zuckerman models of semisimple Lie groups
- A mean value theorem for closed geodesics on congruence surfaces
- On the scarring of eigenstates in some arithmetic hyperbolic manifolds
- Cones based on reflection symmetric convex polygons: Remarks on a problem by A. Pleijel
Articles in the same Issue
- On 2-spherical Kac-Moody groups and their central extensions
- 2-primary v1-periodic homotopy groups of SU(n) revisited
- Geometric quantization and Zuckerman models of semisimple Lie groups
- A mean value theorem for closed geodesics on congruence surfaces
- On the scarring of eigenstates in some arithmetic hyperbolic manifolds
- Cones based on reflection symmetric convex polygons: Remarks on a problem by A. Pleijel
