Journal of Lie Theory

no. 4
Algebraic Characters of Harish-Chandra Modules
Journal of Lie Theory, Volume 24 (2014) no. 4, pp. 1161-1206
We give a cohomological treatment of a character theory for (g,K)-modules. This leads to a nice formalism extending to large categories of not necessarily admissible (g,K)-modules. Due to results of Hecht, Schmid and Vogan the classical results of Harish-Chandra's global character theory extend to this general setting. As an application we consider a general setup, for which we show that algebraic characters answer discretely decomposable branching problems.
DOI: 10.5802/jolt.822
Classification: 17B10, 17B55, 22E47
Keywords: Harish-Chandra modules, Lie algebra cohomology, algebraic characters, Blattner formulae, non-admissible branching laws, localization of Grothendieck groups 
@article{JOLT_2014_24_4_a10,
     author = {F. Januszewski},
     title = {Algebraic {Characters} of {Harish-Chandra} {Modules}},
     journal = {Journal of Lie Theory},
     pages = {1161--1206},
     year = {2014},
     volume = {24},
     number = {4},
     doi = {10.5802/jolt.822},
     zbl = {1356.17007},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.822/}
}
TY  - JOUR
AU  - F. Januszewski
TI  - Algebraic Characters of Harish-Chandra Modules
JO  - Journal of Lie Theory
PY  - 2014
SP  - 1161
EP  - 1206
VL  - 24
IS  - 4
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.822/
DO  - 10.5802/jolt.822
ID  - JOLT_2014_24_4_a10
ER  - 
%0 Journal Article
%A F. Januszewski
%T Algebraic Characters of Harish-Chandra Modules
%J Journal of Lie Theory
%D 2014
%P 1161-1206
%V 24
%N 4
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.822/
%R 10.5802/jolt.822
%F JOLT_2014_24_4_a10
F. Januszewski. Algebraic Characters of Harish-Chandra Modules. Journal of Lie Theory, Volume 24 (2014) no. 4, pp. 1161-1206. doi: 10.5802/jolt.822

Cited by Sources: