Geodesic
A New Character Formula for Lie Algebras and Lie Groups
Waldeck Schützer1
1Universidade Federal de São Carlos, Departament of Mathematics, Rod. Washington Luis - Km 235, 13565-905 São Carlos, SP, Brazil
Journal of Lie Theory, Tome 22 (2012) no. 3, pp. 817-838

Voir la notice de l'article provenant de la source Heldermann Verlag

The aim of this paper is to present a new character formula for finite-dimensional representations of finite-dimensional complex semisimple Lie Algebras and compact semisimple Lie Groups. Some applications of the new formula include the exact determination of the number of weights in a representation, new recursion formulas for multiplicities and, in some cases, closed formulas for the multiplicities themselves.
Classification : 17B10, 33C50
Mots-clés : Representation theory, characters, multiplicities, recursions, Ehrhart polynomials

Waldeck Schützer  1

1 Universidade Federal de São Carlos, Departament of Mathematics, Rod. Washington Luis - Km 235, 13565-905 São Carlos, SP, Brazil 
Waldeck Schützer. A New Character Formula for Lie Algebras and Lie Groups. Journal of Lie Theory, Tome 22 (2012) no. 3, pp. 817-838. http://geodesic.mathdoc.fr/item/JOLT_2012_22_3_a9/
@article{JOLT_2012_22_3_a9,
     author = {Waldeck Sch\"utzer},
     title = {A {New} {Character} {Formula} for {Lie} {Algebras} and {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {817--838},
     year = {2012},
     volume = {22},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2012_22_3_a9/}
}
TY  - JOUR
AU  - Waldeck Schützer
TI  - A New Character Formula for Lie Algebras and Lie Groups
JO  - Journal of Lie Theory
PY  - 2012
SP  - 817
EP  - 838
VL  - 22
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JOLT_2012_22_3_a9/
ID  - JOLT_2012_22_3_a9
ER  - 
%0 Journal Article
%A Waldeck Schützer
%T A New Character Formula for Lie Algebras and Lie Groups
%J Journal of Lie Theory
%D 2012
%P 817-838
%V 22
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2012_22_3_a9/
%F JOLT_2012_22_3_a9