Reference : Non-optimal levels of a reducible mod l modular representation
 Document type : E-prints/Working papers : First made available on ORBilu Discipline(s) : Physical, chemical, mathematical & earth Sciences : Mathematics To cite this reference: http://hdl.handle.net/10993/19100
 Title : Non-optimal levels of a reducible mod l modular representation Language : English Author, co-author : Yoo, Hwajong [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] Publication date : 11-Oct-2014 Peer reviewed : No Keywords : [en] Eisenstein ideals ; Non-optimal levels Abstract : [en] Let $ell>3$ be a prime and $N$ is a square-free integer prime to $\ell$. For each prime divisor $p$ of $N$, let $a_p$ is either 1 or -1. We give a sufficient criterion for the existence of a newform $f$ of weight 2 for $\Gamma_0(N)$ such that the mod $\ell$ Galois representation attached to $f$ is reducible and $U_p f= a_p f$ for prime divisors $p$ of $N$. The main techniques used are level raising methods based on an exact sequence due to Ribet. Permalink : http://hdl.handle.net/10993/19100

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
nonoptimal.pdfAuthor preprint389.1 kBView/Open

All documents in ORBilu are protected by a user license.