Journal of Lie Theory

no. 1
Homogeneous Distributions on Finite Dimensional Vector Spaces
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 
@article{JOLT_2018_28_1_a1,
     author = {H. 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/}
}
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%J Journal of Lie Theory
%D 2018
%P 33-41
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H. 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

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