Modular forms mod 2: Structure of the Hecke ring

被引:12
作者
Nicolas, Jean-Louis [1 ]
Serre, Jean-Pierre [2 ]
机构
[1] Univ Lyon, CNRS, Inst Camille Jordan Math, F-69622 Villeurbanne, France
[2] Coll France, F-75231 Paris 05, France
关键词
D O I
10.1016/j.crma.2012.03.019
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that the Hecke algebra for modular forms mod 2 of level 1 is isomorphic to the power series ring F-2[[x, y]], where x = T-3 and y = T-5. (C) 2012 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves.
引用
收藏
页码:449 / 454
页数:6
相关论文
共 4 条
[1]  
Macaulay F. S., 1994, ALGEBRAIC THEORY MOD, V19
[2]   The nilpotence order of the mod 2 Hecke operators [J].
Nicolas, Jean-Louis ;
Serre, Jean-Pierre .
COMPTES RENDUS MATHEMATIQUE, 2012, 350 (7-8) :343-348
[3]  
NORTHCOT.DG, 1974, J LOND MATH SOC, V8, P290
[4]  
Serre J.-P., 2012, Lectures on Nx(p)