Automorphy of $\mathrm{GL}_2\otimes \mathrm{GL}_n$ in the self-dual case
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arXiv
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| Format: | Preprint |
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2016
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| _version_ | 1866916953454542848 |
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| author | Arias-de-Reyna, Sara Dieulefait, Luis Pérez, Josu |
| author_facet | Arias-de-Reyna, Sara Dieulefait, Luis Pérez, Josu |
| contents | In this paper we establish a new case of Langlands functoriality. More precisely, we prove that the tensor product of the compatible system of Galois representations attached to a level-1 classical modular form and the compatible system attached to an n-dimensional RACP automorphic representation of GL_n of the adeles of Q is automorphic, for any positive integer n, under some natural hypotheses (namely regularity and irreducibility), and a mild restriction on the level of the n-dimensional representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1611_06918 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Automorphy of $\mathrm{GL}_2\otimes \mathrm{GL}_n$ in the self-dual case Arias-de-Reyna, Sara Dieulefait, Luis Pérez, Josu Number Theory 11R39, 11F80 In this paper we establish a new case of Langlands functoriality. More precisely, we prove that the tensor product of the compatible system of Galois representations attached to a level-1 classical modular form and the compatible system attached to an n-dimensional RACP automorphic representation of GL_n of the adeles of Q is automorphic, for any positive integer n, under some natural hypotheses (namely regularity and irreducibility), and a mild restriction on the level of the n-dimensional representation. |
| title | Automorphy of $\mathrm{GL}_2\otimes \mathrm{GL}_n$ in the self-dual case |
| topic | Number Theory 11R39, 11F80 |
| url | https://arxiv.org/abs/1611.06918 |