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Simple supercuspidal L-packets of quasi-split classical groups / Masao Oi.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 1483.Publisher: Providence, RI : American Mathematical Society, 2024Copyright date: ©2024Description: v, 161 pages ; 26 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 1470469561
  • 9781470469566
Subject(s): DDC classification:
  • O39s
Abstract: In this memoir, for quasi-split classical groups over p-adic fields, we determine the L-packets consisting of simple supercuspidal representations and their corresponding L-parameters, under the assumption that p is not equal to 2. The key is an explicit computation of characters of simple supercuspidal representations and the endoscopic character relation, which is a characterization of the local Langlands correspondence for quasi-split classical groups.
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Books Books Castorina Coleções de Monografias (Monographs Collections) Available 39063000809599

Includes bibliographical references (pages 159-161).

In this memoir, for quasi-split classical groups over p-adic fields, we determine the L-packets consisting of simple supercuspidal representations and their corresponding L-parameters, under the assumption that p is not equal to 2. The key is an explicit computation of characters of simple supercuspidal representations and the endoscopic character relation, which is a characterization of the local Langlands correspondence for quasi-split classical groups.

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