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Endoscopic decomposition of characters of certain cuspidal representations

Author(s): David Kazhdan; Yakov Varshavsky
Journal: Electron. Res. Announc. Amer. Math. Soc. 10 (2004), 11-20.
MSC (2000): Primary 22E50; Secondary 22E35
Posted: March 4, 2004
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Abstract: We construct an endoscopic decomposition for local $L$-packets associated to irreducible cuspidal Deligne-Lusztig representations. Moreover, the obtained decomposition is compatible with inner twistings.

References:

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Additional Information:

David Kazhdan
Affiliation: Institute of Mathematics, Hebrew University, Givat-Ram, Jerusalem, 91904 Israel
Email: kazhdan@math.huji.ac.il

Yakov Varshavsky
Affiliation: Institute of Mathematics, Hebrew University, Givat-Ram, Jerusalem, 91904 Israel
Email: vyakov@math.huji.ac.il

DOI: 10.1090/S1079-6762-04-00125-8
PII: S 1079-6762(04)00125-8
Keywords: Endoscopy, Deligne-Lusztig representations
Received by editor(s): September 18, 2003
Received by editor(s) in revised form: January 19, 2004
Posted: March 4, 2004
Additional Notes: The work of the second author was supported by the Israel Science Foundation (Grant No. 38/01-1)
Communicated by: Svetlana Katok
Copyright of article: Copyright 2004, American Mathematical Society

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