Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Professor Dr. Jost-Hinrich Eschenburg
 
spricht am
 
Montag, 1. Juli 2019
 
um
 
15:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Representations of Symmetric Spaces - Cartan's Approach«

Abstract:
In 1926, Hermann Weyl described irreducible representations of a compact connected Lie group $G$ in terms of homomorphims from its maximal torus onto $S^1$ (highest weights). Compact Lie groups are examples of symmetric spaces. In 1929, Élie Cartan extended Weyl's theory to compact symmetric spaces $X = G/K$. "Representations" of $X$ are given by (irreducible) representations of $G$ with a nonzero fixed vector for $K$, so called "spherical" representations.

 

Hierzu ergeht herzliche Einladung.


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