Geodesic
A path model for geodesics in Euclidean buildings and its applications to representation theory
Michael Kapovich1 ; John J. Millson2
1University of California at Davis, United States
2University of Maryland, College Park, USA
Groups, geometry, and dynamics, Tome 2 (2008) no. 3, pp. 405-480

Voir la notice de l'article provenant de la source EMS Press

DOI

In this paper we give a combinatorial characterization of projections of geodesics in Euclidean buildings to Weyl chambers. We apply these results to the representation theory of complex reductive Lie groups and to spherical Hecke rings associated with split nonarchimedean reductive Lie groups. Our main application is a generalization of the saturation theorem of Knutson and Tao for SLn to other complex semisimple Lie groups.
DOI : 10.4171/ggd/46
Classification : 20-XX, 22-XX, 00-XX
Mots-clés : Euclidean buildings, LS path model, saturation theorem

Michael Kapovich  1   ; John J. Millson  2

1 University of California at Davis, United States
2 University of Maryland, College Park, USA 
Michael Kapovich; John J. Millson. A path model for geodesics in Euclidean buildings and its applications to representation theory. Groups, geometry, and dynamics, Tome 2 (2008) no. 3, pp. 405-480. doi: 10.4171/ggd/46
@article{10_4171_ggd_46,
     author = {Michael Kapovich and John J. Millson},
     title = {A path model for geodesics in {Euclidean} buildings and its applications to representation theory},
     journal = {Groups, geometry, and dynamics},
     pages = {405--480},
     year = {2008},
     volume = {2},
     number = {3},
     doi = {10.4171/ggd/46},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/46/}
}
TY  - JOUR
AU  - Michael Kapovich
AU  - John J. Millson
TI  - A path model for geodesics in Euclidean buildings and its applications to representation theory
JO  - Groups, geometry, and dynamics
PY  - 2008
SP  - 405
EP  - 480
VL  - 2
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/46/
DO  - 10.4171/ggd/46
ID  - 10_4171_ggd_46
ER  - 
%0 Journal Article
%A Michael Kapovich
%A John J. Millson
%T A path model for geodesics in Euclidean buildings and its applications to representation theory
%J Groups, geometry, and dynamics
%D 2008
%P 405-480
%V 2
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/46/
%R 10.4171/ggd/46
%F 10_4171_ggd_46

Cité par Sources :