Exponential sums and total Weil representations of finite symplectic and unitary groups
نویسندگان
چکیده
منابع مشابه
compactifications and representations of transformation semigroups
this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولCompanion Forms for Unitary and Symplectic Groups
We prove a companion forms theorem for ordinary n-dimensional automorphic Galois representations, by use of automorphy lifting theorems developed by the second author, and a technique for deducing companion forms theorems due to the first author. We deduce results about the possible Serre weights of mod l Galois representations corresponding to automorphic representations on unitary groups. We ...
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One purpose is to isolate techniques and results in representation theory which do not depend upon additional structure of the groups. Much can be done in the representation theory of compact groups without anything more than the compactness. Similarly, the discrete decomposition of L(Γ\G) for compact quotients Γ\G depends upon nothing more than compactness. Schur orthogonality and inner produc...
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A much larger class of groups satisfies the analogous property for p — 2 or 3, including many of the sporatic simple groups. The classification for p = 2 appears in [3]. The classification for p = 3 is incomplete, but a partial solution appears in [4] For the most part the proof here mimics that in the papers mentioned above. The exception comes in handling certain degenerate cases. This is acc...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2020
ISSN: 0024-6115,1460-244X
DOI: 10.1112/plms.12390