Kac-Moody groups, hovels and Littelmann's paths
| dc.creator | Gaussent, Stéphane | |
| dc.creator | Rousseau, Guy | |
| dc.date | 2007-03-21 | |
| dc.date | 2008-11-14 | |
| dc.date.accessioned | 2026-07-07T10:18:06Z | |
| dc.date.available | 2026-07-07T10:18:06Z | |
| dc.description | We give the definition of a kind of building I for a symmetrizable Kac-Moody group over a field K endowed with a dicrete valuation and with a residue field containing C. Due to some bad properties, we call this I a hovel. Nevertheless I has some good properties, for example the existence of retractions with center a sector-germ. This enables us to generalize many results proved in the semi-simple case by S. Gaussent and P. Littelmann [Duke Math. J; 127 (2005), 35-88]. In particular, if K= C((t)), the geodesic segments in I, with a given special vertex as end point and a good image under some retraction, are parametrized by a Zariski open subset P of C^N. This dimension N is maximum when this image is a LS path and then P is closely related to some Mirkovic-Vilonen cycle. | |
| dc.description | 54 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703639 | |
| dc.identifier | http://arxiv.org/abs/math/0703639 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174081 | |
| dc.subject | Group Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 22E46; 20G05; 17B67; 22E65; 20E42; 51E24 | |
| dc.title | Kac-Moody groups, hovels and Littelmann's paths | |
| dc.type | text |