A Non-selfdual Automorphic Representation of Gl 3 and a Galois Representation
نویسنده
چکیده
The Langlands philosophy contemplates the relation between auto-morphic representations and Galois representations. A particularly interesting case is that of the non-selfdual automorphic representations of GL 3. Clozel conjectured that the L-functions of certain of these are equal to L-functions of Galois representations. Here we announce that we found an example of such an automorphic representation and of a Galois representation which appear to have the same L-functions (for a more precise statement see Prop. 3.6).
منابع مشابه
Galois representations from the cohomology of SL(3, Z)
Ash's research was partially supported by NSF Grant DMS-8919696. Conjecturally, any “algebraic” automorphic representation on GL(n) should have an n-dimensional Galois representation attached. Many examples of algebraic automorphic representations come from the cohomology overC of congruence subgroups of GL(n;Z). On the other hand, the first author has conjectured that for any Hecke eigenclass ...
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