JournalsrmiVol. 36, No. 2pp. 407–434

Automorphy of mm-fold tensor products of GL(2)

  • Luis Victor Dieulefait

    Universitat de Barcelona, Spain
Automorphy of $m$-fold tensor products of GL(2) cover

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Abstract

We prove that for any m>1m > 1, given any mm-tuple of Hecke eigenforms fif_i of level 11 whose weights satisfy the usual regularity condition, there is a self-dual cuspidal automorphic form π\pi of GL2m(Q){\rm GL}_{2^m}(\mathbb{Q}) corresponding to their tensor product, i.e., such that the system of Galois representations attached to π\pi agrees with the tensor product of the ones attached to the cuspforms fif_i.

Cite this article

Luis Victor Dieulefait, Automorphy of mm-fold tensor products of GL(2). Rev. Mat. Iberoam. 36 (2020), no. 2, pp. 407–434

DOI 10.4171/RMI/1134