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The degenerate
principal series representations of exceptional groups of
type $E_7$ over $p$-adic fields
Hezi Halawi and Avner Segal |
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Vol. 310 (2021), No. 1, 115–157
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Abstract |
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In this paper, we study the degenerate principal series of a split, simply connected, simple -adic group of type . We determine the points of reducibility and the maximal semisimple subrepresentation at each point. |
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Keywords
representation theory, $p$-adic groups, degenerate
principal series
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Mathematical Subject Classification
Primary: 20G05, 20G41, 22E50
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Milestones
Received: 18 December 2019
Revised: 25 June 2020
Accepted: 25 July 2020
Published: 26 January 2021
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Authors |
| Hezi Halawi | |
| School of Mathematics Ben Gurion University of the Negev Be’er Sheva Israel |
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| Avner Segal | |
| School of Mathematical
Sciences Tel Aviv University Tel Aviv Israel |
Mathematics Department Shamoon College of Engineering Beer-Sheva Israel |
