Image of transfer from GL(2) x GL(3) to GL(6) done with latex

Qingyu Wu, Purdue University

Abstract

We characterize the image of the functorial transfer from GL(2) × GL(3) to GL(6) over global fields in cyclic automorphic induction cases by using available automorphic tools. Over local fields we characterize the image in general. We also characterize the transfer image from GL(2) × GL(2) to GL(4). We find a representation of SL(4, C ) for which the tensor subgroup SL(2, C ) ⊗ SL(2, C ) is a stabilizer subgroup. We also find a representation of SL(6, C ) for which the tensor subgroup SL(2, C ) ⊗ SL(3, C ) is the identity component of a stabilizer subgroup. These representations are crucial to the characterization of the image of the corresponding transfer in general based on Langlands' philosophy^

Degree

Ph.D.

Advisors

Freydoon Shahidi, Purdue University.

Subject Area

Mathematics

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