Journal of Lie Theory

no. 1
Homogeneous Distributions on Finite Dimensional Vector Spaces
Huajian Xue1
1Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190 China
Journal of Lie Theory, Volume 28 (2018) no. 1, pp. 33-41
Let $V$ be a finite dimensional vector space over a local field $F$. Let $\chi\colon F^\times \rightarrow \C^\times$ be an arbitrary character of $F^\times$. We determine the structure of the natural representation of GL$(V)$ on the space ${\cal S}^*(V)^\chi$ of $\chi$-invariant distributions on $V$.
DOI: 10.5802/jolt.991
Classification: 22E50
Keywords: Representation, Schwartz function, tempered distribution, degenerate principal series

Huajian Xue  1

1 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190 China 
Huajian Xue. Homogeneous Distributions on Finite Dimensional Vector Spaces. Journal of Lie Theory, Volume 28 (2018) no. 1, pp. 33-41. doi: 10.5802/jolt.991
@article{JOLT_2018_28_1_a1,
     author = {Huajian Xue},
     title = {Homogeneous {Distributions} on {Finite} {Dimensional} {Vector} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {33--41},
     year = {2018},
     volume = {28},
     number = {1},
     doi = {10.5802/jolt.991},
     zbl = {1387.22018},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.991/}
}
TY  - JOUR
AU  - Huajian Xue
TI  - Homogeneous Distributions on Finite Dimensional Vector Spaces
JO  - Journal of Lie Theory
PY  - 2018
SP  - 33
EP  - 41
VL  - 28
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.991/
DO  - 10.5802/jolt.991
ID  - JOLT_2018_28_1_a1
ER  - 
%0 Journal Article
%A Huajian Xue
%T Homogeneous Distributions on Finite Dimensional Vector Spaces
%J Journal of Lie Theory
%D 2018
%P 33-41
%V 28
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.991/
%R 10.5802/jolt.991
%F JOLT_2018_28_1_a1

Cited by Sources: