搜索结果: 1-8 共查到“数论 REPRESENTATIONS”相关记录8条 . 查询时间(0.125 秒)
From etale $P_{+}$-representations to $G$-equivariant sheaves on $G/P$
From etale $P_{+}$-representations $G$-equivariant sheaves $G/P$ Number Theory
2012/6/21
Let $K/\mathbb Q_{p}$ be a finite extension with ring of integers $o$, let $G$ be a connected reductive split $\mathbb Q_{p}$-group of Borel subgroup $P=TN$ and let $\alpha$ be a simple root of $T$ in...
Residual automorphic forms and spherical unitary representations of exceptional groups
Arthur’s conjectures unitary dual residual Eisenstein series automorphic realizations
2012/5/25
Arthur has conjectured that the unitarity of a number of representations can be shown by finding appropriate automorphic realizations. This has been verified for classical groups by Moeglin and for th...
On the Surjectivity of Galois Representations Associated to Elliptic Curves over Number Fields
Surjectivity Galois Representations Elliptic Curves over Number Fields Number Theory
2012/4/17
Given an elliptic curve $E$ over a number field $K$, the $\ell$-torsion points $E[\ell]$ of $E$ define a Galois representation $\gal(\bar{K}/K) \to \gl_2(\ff_\ell)$. A famous theorem of Serre states t...
On the automorphy of $l$-adic Galois representations with small residual image
small residual image Galois representations Number Theory
2011/9/23
Abstract: We prove new automorphy lifting theorems for essentially conjugate self-dual Galois representations into $GL_n$. Existing theorems require that the residual representation have 'big' image, ...
On Truncation of irreducible representations of Chevalley groups
irreducible representations Chevalley groups Number Theory
2011/9/14
Abstract: We prove part of a higher rank analogue of the Mazur-Gouvea Conjecture. More precisely, let $\tilde{\bf G}$ be a connected, reductive ${\Bbb Q}$-split group and let $\Gamma$ be an arithmetic...
Central characters for smooth irreducible modular representations of GL_2(Q_p)
Smooth representation admissible representation parabolic induction supersingular representation central character Schur’s lemma
2011/8/24
Abstract: We prove that every smooth irreducible F_p^alg-linear representation of GL_2(Q_p) admits a central character.
Classification of Kac representations in the logarithmic minimal models LM(1,p)
Classification of Kac representations logarithmic minimal models LM(1,p)
2011/3/3
For each pair of positive integers r, s, there is a so-called Kac representation (r, s) associated with a Yang-Baxter integrable boundary condition in the lattice approach to the logarithmic minimal m...
Kernels of representations and coideal subalgebras of Hopf algebras
Kernels of representations coideal subalgebras of Hopf algebras
2011/1/21
We define left and right kernels of representations of Hopf algebras. In the case of group algebras, left and right kernels coincide and they are the usual kernels of modules.