Abstract
We provide a new presentation for simply connected Kac-Moody groups of 2-spherical type and for their universal central extensions. Under mild local restrictions, these results extend to the more general class of groups of Kac-Moody type (i.e. groups endowed with a root datum).
Received: 2005-06-28
Revised: 2005-09-20
Published Online: 2007-09-19
Published in Print: 2007-09-19
© Walter de Gruyter
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Artikel in diesem Heft
- 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
Artikel in diesem Heft
- 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