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Endoscopic lifting of simple supercuspidal representations of SO(2n+1) to GL(2n)
Number Theory · Submitted 10 Feb 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Comparing them by the endoscopic character relation, we determine the liftings of simple supercuspidal representations of SO(2n+1) to GL(2n), under the assumption that p is not equal to 2.
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The abstract, sentence by sentence
We compute the characters of simple supercuspidal representations of twisted GL(2n) and standard SO(2n+1) over a p-adic field. Comparing them by the endoscopic character relation, we determine the liftings of simple supercuspidal representations of SO(2n+1) to GL(2n), under the assumption that p is not equal to 2.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We compute the characters of simple supercuspidal representations of twisted GL(2n) and standard SO(2n+1) over a p-adic field. | contribution 0.59 | 0.94 | 0.07 | asserted 1.00 |
| s1 | Comparing them by the endoscopic character relation, we determine the liftings of simple supercuspidal representations of SO(2n+1) to GL(2n), under the assumption that p is not equal to 2. | result 0.80 | 0.95 | 0.90 | asserted 1.00 |
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The paper
Original abstract
We compute the characters of simple supercuspidal representations of twisted GL(2n) and standard SO(2n+1) over a p-adic field. Comparing them by the endoscopic character relation, we determine the liftings of simple supercuspidal representations of SO(2n+1) to GL(2n), under the assumption that p is not equal to 2.
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How the literature uses it
3 arXiv papers cite this in 13 sentences
Papers citing it · 12 sentences without a confident label
Uses its method or tool 1 paper
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Our strategy is basically the same as in [ref] .
Endoscopic lifting of simple supercuspidal representations of unramified U(N) to GL(N) · Introduction · 0.91
What it cites · 5 sentences without a confident label
Uses the method or tool of 1 paper
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We use the theorem on a parametrization of supercuspidal representations of classical groups in [ref] .
On the cuspidal support of discrete series for $p$-adic quasisplit $Sp(N)$ and $SO(N)$ · Supercuspidality of $π_H$ · 0.82
Compares with 1 paper
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We remark that such a computation was already done by many people in the case of standard $_n$ (for example, [ref] ), but our computation in this paper is more conceptual and valid for other groups.
Local Jacquet-Langlands correspondences for simple supercuspidal representations · Introduction · 0.84
Cites as background 1 paper
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We remark that the $L$-parameters of simple supercuspidal representations of general linear groups have been described explicitly by the works of [ref] and [ref] .
Local Galois representations of Swan conductor one · Introduction · 0.93
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