On $L$-Packets for Inner Forms of $SL_n$

Released on by Kaoru Hiraga
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  • On $L$-Packets for Inner Forms of $SL_n$ Book Detail

  • Author : Kaoru Hiraga
  • Release Date : 2012
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 110
  • ISBN 13 : 0821853643
  • File Size : 55,55 MB
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On $L$-Packets for Inner Forms of $SL_n$ by Kaoru Hiraga PDF Summary

Book Description: 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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On $L$-Packets for Inner Forms of $SL_n$

On $L$-Packets for Inner Forms of $SL_n$

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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 f

Potential Wadge Classes

Potential Wadge Classes

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Let $\bf\Gamma$ be a Borel class, or a Wadge class of Borel sets, and $2\!\leq\! d\!\leq\!\omega$ be a cardinal. A Borel subset $B$ of ${\mathbb R}^d$ is potent