Geodesic
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, Tome 28 (2018) no. 1, pp. 33-41

Voir la notice de l'article provenant de la source Heldermann Verlag

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

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, Tome 28 (2018) no. 1, pp. 33-41. http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a1/
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     title = {Homogeneous {Distributions} on {Finite} {Dimensional} {Vector} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {33--41},
     year = {2018},
     volume = {28},
     number = {1},
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