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Level raising and symmetric power functoriality, I Laurent Clozel ...
https://www.dpmms.cam.ac.uk/~jat58/lrspi.pdf20 Feb 2013: In this case, defineai = (aiτ )τHom(E,C) by the requirement that (a. ... q(n1)/2(i1)v. τ. ι1τ($v)λτ,n1iαw(i)($v). ])nj=1. ,. the jth entry having valuationji=1. (val(αw(i)($v)) 1/ev. -
Raising the level and symmetric power functoriality, II Laurent ...
https://www.dpmms.cam.ac.uk/~jat58/lrspii.pdf20 Feb 2013: 8. Ei,j is the matrix with exactly one non-zero entry in the (i,j) spot, which is equal to 1. ... In this case, define ai = (aiτ )τHom(E,C) by the. requirement that (aiτ,1 (nin)/2,.
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