Geodesic
Homogeneous Distributions on Finite Dimensional Vector Spaces
Journal of Lie theory, Tome 28 (2018) no. 1, pp. 33-41
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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 $V$.
Classification : 22E50
Mots-clés : Representation, Schwartz function, tempered distribution, degenerate principal series 
@article{JLT_2018_28_1_JLT_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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2018_28_1_JLT_2018_28_1_a1/}
}
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H. Xue. Homogeneous Distributions on Finite Dimensional Vector Spaces. Journal of Lie theory, Tome 28 (2018) no. 1, pp. 33-41. http://geodesic.mathdoc.fr/item/JLT_2018_28_1_JLT_2018_28_1_a1/