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arXiv · 1612.03623

Homogeneous distributions on finite dimensional vector spaces

Huajian Xue
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Abstract

Let $V$ be a finite dimensional vector space over a local field $F$. Let $χ: F^\times \rightarrow \mathbb C^\times$ be an arbitrary character of $F^\times$. We determine the structure of the natural representation of $\mathrm{GL}(V)$ on the space $\mathcal{S}^*(V)^χ$ of $χ$-invariant distributions on $V$.

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Huajian Xue. 2016-12-12. Homogeneous distributions on finite dimensional vector spaces. https://arxiv.org/abs/1612.03623

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