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ON THE SOCLES OF CERTAIN PARABOLICALLY INDUCED REPRESENTATIONS OF p-ADIC CLASSICAL GROUPS
| Title: | ON THE SOCLES OF CERTAIN PARABOLICALLY INDUCED REPRESENTATIONS OF p-ADIC CLASSICAL GROUPS |
| Authors: | Atobe, Hiraku Browse this author →KAKEN DB |
| Keywords: | Socles | | Speh representations | | A-parameters |
| Issue Date: | 25-Apr-2022 |
| Publisher: | American Mathematical Society |
| Journal Title: | Representation theory |
| Volume: | 26 |
| Start Page: | 515 |
| End Page: | 541 |
| Publisher DOI: | 10.1090/ert/612 |
| Abstract: | In this paper, we consider representations of p-adic classical groups parabolically induced from the products of shifted Speh representations and unitary representations of Arthur type of good parity. We describe how to compute the socles (the maximal semisimple subrepresentations) of these rep-resentations. As a consequence, we can determine whether these representa-tions are reducible or not. In particular, our results produce many unitary representations, which appear in the complementary series. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/86208 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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