On the Cusp Forms of Congruence Subgroups of an almost Simple Lie group

Allen Moy; Goran Muic

On the Cusp Forms of Congruence Subgroups of an almost Simple Lie group

Number Theory 2013-08-15 v2 Representation Theory

Authors: Allen Moy , Goran Muic

Abstract

In this paper we address the issue of existence of cusp forms for almost simple Lie groups using the approach of the second author combined with local information on supercuspidal representations for $p$ -adic groups known by the first author. We pay special attention to the case of $SL_M(\Bbb R)$ where we prove various existence results for principal congruence subgroups.

Keywords

cusp forms almost simple Lie groups congruence subgroups supercuspidal representations p-adic groups SL_M(R)

Cite

@article{arxiv.1207.0850,
  title  = {On the Cusp Forms of Congruence Subgroups of an almost Simple Lie group},
  author = {Allen Moy and Goran Muic},
  journal= {arXiv preprint arXiv:1207.0850},
  year   = {2013}
}

Comments

Minor revision of the paper, to appear in Math Z

On the Cusp Forms of Congruence Subgroups of an almost Simple Lie group

Abstract

Keywords

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