Regular Elliptic Classes and the Stable Relative Trace Formula
Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 230-236

Voir la notice de l'article provenant de la source Cambridge University Press

We study the relative trace formula of a reductive group over an algebraic number field. Following Langlands we stabilize the geometric side of the relative trace formula contributed by the elliptic regular double cosets.
DOI : 10.4153/CMB-1992-033-2
Mots-clés : 11F70, 11F72, 22E55
Lai, K. F. Regular Elliptic Classes and the Stable Relative Trace Formula. Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 230-236. doi: 10.4153/CMB-1992-033-2
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[1] 1. Arthur, J., A trace formula for reductive groups I, Duke Math. J. 45(1978), 911–952, II, Compositio Math. 40(1980), 87–121. Google Scholar

[2] 2. Clozel, L., The fundamental lemma for stable base change, preprint. Google Scholar

[3] 3. Flicker, Y. Z., Relative trace formula and simple algebras, Proc. A.M.S. 99(1987), 421–426. Google Scholar

[4] 4. Jacquet, H. and Lai, K. F., A relative trace formula, Compositio Math. 54(1985), 243–301. Google Scholar

[5] 5. Kottwitz, R. E., Stable trace trace formula: cuspidal tempered terms, Duke Math. J. 51( 1984), 611-650. Google Scholar

[6] 6. Kottwitz, R. E., Stable trace trace formula: elliptic singular terms, Math. Ann. 275(1986), 365–399. Google Scholar

[7] 7. Kottwitz, R. E., Base change for unit elements of Hecke algebras, Compositio Math. 60(1986), 237–250. Google Scholar

[8] 8. J.-Labesse, P. and Langlands, R. P., L-indistinguishability forSL(2), J. Canad. Math. 31(1979), 726–785. Google Scholar

[9] 9. Lai, K. F., On a relative trace formula for reductive groups, preprint. Google Scholar

[10] 10. Langlands, R. P., Les debuts d'une formule des traces stable, Publ. Math, de l'Université Paris VII, 13, 1983. Google Scholar

[11] 11. Langlands, R. P., Stable conjugacy: definitions and lemmas, J. Canad. Math. 31(1979), 700–725. Google Scholar

[12] 12. Langlands, R. P., On the zeta-function of some simple Shimura varieties, J. Canad. Math. 31(1979), 1121–1216. Google Scholar

[13] 13. Langlands, R. P., Base change for GL(2), Annals of Math. Study 96(1980). Google Scholar

[14] 14. Langlands, R. P. and Shelstad, D., On the definition of transfer factors, Math. Ann. 278(1987), 219–271. Google Scholar

[15] 15. Poitou, G., Cohomologie galoisienne des modules finis, Seminare de l'Institute de Mathématiques de Lille, Paris (1967). Google Scholar

[16] 16. Shelstad, D., L-indistinguishability for real groups, Math. Ann. 259(1982), 385–430. Google Scholar

[17] 17. Shelstad, D., Orbital integrals, endoscopic groups and L-indistinguishability, Publ. Math. Univ. Paris VII, 15(1983). Google Scholar

[18] 18. Shelstad, D., Embeddings of L-groups, Canad. J. Math. 33(1981), 513–558. Google Scholar

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