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I am working on a problem related to the local Langlands correspondence and I am interested in certain smooth representations of locally profinite groups (in particular of the Weil group of a local field). I want to study them using elementary Clifford-Mackey theory. Can someone suggest me some references for Clifford-Mackey theory in this context?

Thanks in advance, AYK

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  • $\begingroup$ What have you looked at? Is what you want not in Bushnell-Henniart? (I don't remember exactly what's in there.) $\endgroup$
    – Kimball
    Commented Jun 17, 2015 at 3:46
  • $\begingroup$ They usually refer to it as standard Mackey theory in their works. $\endgroup$
    – AYK
    Commented Jun 17, 2015 at 8:51

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For standard Mackey theory (also called the Mackey machine), I found Kaniuth and Taylor useful. Standard Clifford theory is discussed in Curtis and Reiner (Methods of representation theory II).

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