Let E/F be a quadratic extension of p-adic fields. The local Langlands correspondence establishes a bijection between n-dimensional Frobenius semisimple representations of the Weil-Deligne group of E and smooth, irreducible representations
of GL(n, E). We reinterpret this bijection in the setting of the Weil restriction of
scalars Res(GL(n), E/F), and show that the Asai L-function and epsilon factor on
the analytic side match up with the expected Artin L-function and epsilon factor on
the Galois side.
| Identifer | oai:union.ndltd.org:purdue.edu/oai:figshare.com:article/12245378 |
| Date | 05 May 2020 |
| Creators | Daniel J Shankman (8797034) |
| Source Sets | Purdue University |
| Detected Language | English |
| Type | Text, Thesis |
| Rights | CC BY 4.0 |
| Relation | https://figshare.com/articles/Local_Langlands_Correspondence_for_Asai_L_and_Epsilon_Factors/12245378 |
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