Results 21 to 30 of about 702,417 (178)
Application of automorphic forms to lattice problems
Journal of Mathematical Cryptology, 2022 In this article, we propose a new approach to the study of lattice problems used in cryptography. We specifically focus on module lattices of a fixed rank over some number field.
Düzlü Samed, Krämer Juliane
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Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2019 In this paper, we analyze Fourier coefficients of automorphic forms on a finite cover G of an adelic split simply-laced group. Let $\pi $ be a minimal or next-to-minimal automorphic representation of G. We prove that any $\eta \in \pi $ is completely
D. Gourevitch +4 more
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A reciprocal branching problem for automorphic representations and global Vogan packets [PDF]
Journal für die Reine und Angewandte Mathematik, 2018 Let G be a group and let H be a subgroup of G. The classical branching rule (or symmetry breaking) asks: For an irreducible representation π of G, determine the occurrence of an irreducible representation σ of H in the restriction of π to H.
Dihua Jiang, Baiying Liu, Bin Xu
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On fields of rationality for automorphic representations [PDF]
Compositio Mathematica, 2014 Abstract This paper proves two results on the field of rationality $\mathbb{Q}({\it\pi})$ for an automorphic representation
Shin, Sug Woo, Templier, Nicolas
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Euphotic representations and rigid automorphic data [PDF]
Selecta Mathematica, 2020 We propose a new method to construct rigid G-automorphic representations and rigid G^\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
Konstantin Jakob, Zhiwei Yun
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Forum of Mathematics, Sigma, 2014 We prove a simple level-raising result for regular algebraic, conjugate self-dual automorphic forms on $\mathrm{GL}_n$ .
JACK A. THORNE
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Central morphisms and cuspidal automorphic representations [PDF]
Journal of Number Theory, 2018 Let F be a global field. Let G and H be two connected reductive group defined over F endowed with an F-morphism f : H → G such that the induced morphism H d e r → G d e r on the derived groups is a central isogeny.
Jean-Pierre Labesse, J. Schwermer
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Representations of automorphism groups on the homology of matroids [PDF]
European Journal of Combinatorics, 2021 Given a group $G$ of automorphisms of a matroid $M$, we describe the representations of $G$ on the homology of the independence complex of the dual matroid $M^*$. These representations are related with the homology of the lattice of flats of $M$, and (when $M$ is realizable) with the top cohomology of a hyperplane arrangement.
Moci Luca, GIan Marco Pezzoli
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Congruences of algebraic automorphic forms and supercuspidal representations [PDF]
Cambridge Journal of Mathematics, 2020 Let $G$ be a connected reductive group over a totally real field $F$ which is compact modulo center at archimedean places. We find congruences modulo an arbitrary power of p between the space of arbitrary automorphic forms on $G(\mathbb A_F)$ and that of
Jessica Fintzen, S. Shin
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International Journal of Mathematics and Mathematical Sciences, 2006 It is shown that the space of invariant trilinear forms on smooth representations of a semisimple Lie group is finite dimensional if the group is a product of hyperbolic groups.
Anton Deitmar
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