Deligne–Lusztig characters of the finite general linear groups and eigenvectors of Lannes' T-functor

2019 ◽  
Vol 343 ◽  
pp. 1-15
Author(s):  
Nguyen Dang Ho Hai
Keyword(s):  
General Linear ◽  
Linear Groups ◽  
General Linear Groups

scholarly journals general linear groups

1997 ◽  
Vol 90 (3) ◽  
pp. 549-576 ◽  
Author(s):  
Avner Ash ◽  
Mark McConnell
Keyword(s):  
General Linear ◽  
Linear Groups ◽  
General Linear Groups

scholarly journals Restriction for general linear groups: The local non-tempered Gan–Gross–Prasad conjecture (non-Archimedean case)

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Kei Yuen Chan
Keyword(s):  
General Linear ◽  
Linear Groups ◽  
Branching Laws ◽  
General Linear Groups ◽  
Branching Law

Abstract We prove a local Gan–Gross–Prasad conjecture on predicting the branching law for the non-tempered representations of general linear groups in the case of non-Archimedean fields. We also generalize to Bessel and Fourier–Jacobi models and study a possible generalization to Ext-branching laws.

scholarly journals On cuspidal representations of general linear groups over discrete valuation rings

2010 ◽  
Vol 175 (1) ◽  
pp. 391-420 ◽  
Author(s):  
Anne-Marie Aubert ◽  
Uri Onn ◽  
Amritanshu Prasad ◽  
Alexander Stasinski
Keyword(s):  
General Linear ◽  
Linear Groups ◽  
General Linear Groups ◽  
Discrete Valuation Rings ◽  
Valuation Rings ◽  
Cuspidal Representations

Lifting n-Dimensional Galois Representations

2008 ◽  
Vol 60 (5) ◽  
pp. 1028-1049 ◽  
Author(s):  
Spencer Hamblen
Keyword(s):  
Characteristic Zero ◽  
Galois Representations ◽  
Galois Groups ◽  
Geometric Shape ◽  
General Linear ◽  
Linear Groups ◽  
Selmer Group ◽  
General Linear Groups

AbstractWe investigate the problem of deforming n-dimensional mod p Galois representations to characteristic zero. The existence of 2-dimensional deformations has been proven under certain conditions by allowing ramification at additional primes in order to annihilate a dual Selmer group. We use the same general methods to prove the existence of n-dimensional deformations.We then examine under which conditions we may place restrictions on the shape of our deformations at p, with the goal of showing that under the correct conditions, the deformations may have locally geometric shape. We also use the existence of these deformations to prove the existence as Galois groups over ℚ of certain infinite subgroups of p-adic general linear groups.

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