| R.P. Langlands, On the zeta function of some simple Shimura varieties, Can. J. Math. Vol. XXXI, No. 6 (1979), 1121-1216. |
....MQ = Ind Y Q (M) A more exact form of (1.5.1) is the following: 1.5.1. 1) MQ is associated by a Langlands correspondence to a pair ( r Q ) where is a cuspidal automorphic representation of G(A Q ) r Y : L G Y GL(W ) is the finite dimensional representation associated to X according [La] and r Q : L GQ GL(WQ ) r Q = Ind Y Q (r Y ) is the induced representation. For our case ( BlR] p.550, b) L G Y = GL 4 (C ) Theta Gal (Y ) r Y is the standard representation of GL 4 (C ) and is trivial on Gal (Y ) hence dim W = 4; dim WQ = 8 (1:5:1:2) Let U be the field of ....
Langlands R.P. On the zeta-functions of some simple Shimura varieties. Can. J. Math., 1979, v. 31, p. 1121 - 1216.
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R.P. Langlands, On the zeta function of some simple Shimura varieties, Can. J. Math. Vol. XXXI, No. 6 (1979), 1121-1216.
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