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arXiv · 1510.05255

Composition series for degenerate principal series of GL(n)

Dmitry Gourevitch
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Abstract

In this note we consider representations of the group GL(n,F), where F is the field of real or complex numbers or, more generally, an arbitrary local field, in the space of equivariant line bundles over Grassmannians over the same field F. We study reducibility and composition series of such representations. Similar results were obtained already in [HL99,Al12,Zel80], but we give a short uniform proof in the general case, using the tools from [AGS15a]. We also indicate some applications to cosine transforms in integral geometry.

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BibTeXRIS

Dmitry Gourevitch. 2015-10-18. Composition series for degenerate principal series of GL(n). https://arxiv.org/abs/1510.05255

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