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L Endoscopie Tordue n est pas si Tordue
Author | : Jean-Loup Waldspurger |
Publsiher | : American Mathematical Soc. |
Total Pages | : 280 |
Release | : 2008 |
Genre | : Grups algèbrics lineals |
ISBN | : 9780821844694 |
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The author considers the fundamental lemma for twisted endoscopy, for the units of Hecke algebras only. He proves that it is true if two other lemmas are true: the fundamental lemma for Lie algebras (and non-twisted endoscopy) and another lemma called "non-standard fundamental lemma". This lemma assert equality between stable orbital integrals on the Lie algebras of two groups as a symplectic group and an odd special orthogonal group of the same rank. A similar result is proved fortransfer conjecture.