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Memoirs of the American Mathematical Society
2011; 97 pp; softcover
List Price: US$70
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Order Code: MEMO/215/1013
The theory of \(L\)-indistinguishability for inner forms of \(SL_2\) has been established in the well-known paper of Labesse and Langlands (L-indistinguishability for SL\((2)\). Canad. J. Math. 31 (1979), no. 4, 726-785).
In this memoir, the authors study \(L\)-indistinguishability for inner forms of \(SL_n\) for general \(n\). Following the idea of Vogan in (The local Langlands conjecture. Representation theory of groups and algebras, 305-379, Contemp. Math. 145 (1993)), they modify the \(S\)-group and show that such an \(S\)-group fits well in the theory of endoscopy for inner forms of \(SL_n\).
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