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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.

Copyright 2004 American Mathematical Society

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Article Info

• ERA Amer. Math. Soc. 10 (2004), pp. 11-20
• Publisher Identifier: S 1079-6762(04)00125-8
• 2000 Mathematics Subject Classification. Primary 22E50; Secondary 22E35
• Key words and phrases. Endoscopy, Deligne-Lusztig representations
• Received by editors September 18, 2003
• Received by editors in revised form January 19, 2004
• Posted on March 4, 2004
• Communicated by Svetlana Katok
• Comments (When Available)

David Kazhdan

Institute of Mathematics, Hebrew University, Givat-Ram, Jerusalem, 91904 Israel

E-mail address: kazhdan@math.huji.ac.il

Yakov Varshavsky

Institute of Mathematics, Hebrew University, Givat-Ram, Jerusalem, 91904 Israel

E-mail address: vyakov@math.huji.ac.il

The work of the second author was supported by the Israel Science Foundation (Grant No. 38/01-1)