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MR2533004 (2011d:22018) 22E50 (11F70 22D30)
Lapid, Erez (ILHEBRIM); Rogawski, Jonathan (1UCLA)
On a result of Venkatesh on Clozel's conjecture. (English summary)
Automorphic forms and Lfunctions II. Local aspects, 173178, Contemp.Math., 489, Amer.
Math.Soc., Providence, RI, 2009.
The paper gives a simple proof of a special case of L. Clozel's conjectures [Int. Math. Res.
Not. 2004, no. 11, 511523; MR2038775 (2005f:11099)] on the restriction of unramified repre
sentations of a reductive group G over a local field to a reductive subgroup H. Recall that an
Arthur parameter is a homomorphism from the product of the WeilDeligne group WF and
SL(2, C) to the Langlands dual GL
of G such that SL(2,C) is algebraic and WF
has bounded
image. Note that an Arthur parameter gives rise to a Langlands parameter via the natural map
w (w, diag(w1/2
, w1/2
)). A representation of G is said to be of Arthur type if it arises this
