Journal of Lie Theory

no. 3
A New Character Formula for Lie Algebras and Lie Groups
Journal of Lie Theory, Volume 22 (2012) no. 3, pp. 817-838
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.
DOI: 10.5802/jolt.693
Classification: 17B10, 33C50
Keywords: Representation theory, characters, multiplicities, recursions, Ehrhart polynomials 
@article{JOLT_2012_22_3_a9,
     author = {W. 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},
     doi = {10.5802/jolt.693},
     zbl = {1284.17005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.693/}
}
TY  - JOUR
AU  - W. 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  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.693/
DO  - 10.5802/jolt.693
ID  - JOLT_2012_22_3_a9
ER  - 
%0 Journal Article
%A W. 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 https://jolt.centre-mersenne.org/articles/10.5802/jolt.693/
%R 10.5802/jolt.693
%F JOLT_2012_22_3_a9
W. Schützer. A New Character Formula for Lie Algebras and Lie Groups. Journal of Lie Theory, Volume 22 (2012) no. 3, pp. 817-838. doi: 10.5802/jolt.693

Cited by Sources: