On L Packets For Inner Forms Of Sl N
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On $L$-Packets for Inner Forms of $SL_n$
Author | : Kaoru Hiraga |
Publisher | : American Mathematical Soc. |
Total Pages | : 110 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0821853643 |
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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 forSL$(2)$. 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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