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On the cusp forms of congruence subgroups of an almost simple Lie group

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Abstract

In this paper we address the issue of existence of newforms among the 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 \(SL_M({\mathbb {R}})\) where we prove various existence results for principal congruence subgroups.

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Authors and Affiliations

  1. Department of Mathematics, The Hong–Kong University of Science and Technology, Clear Water Bay, Hong Kong

    Allen Moy

  2. Department of Mathematics, University of Zagreb, Bijenička 30, 10000, Zagreb, Croatia

    Goran Muić

Authors
  1. Allen Moy
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  2. Goran Muić
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Corresponding author

Correspondence to Goran Muić.

Additional information

The 1st author acknowledges Hong Kong Research Grants Council Grant CERG #603310, and the 2nd author acknowledges Croatian Ministry of Science and Technology Grant #0037108.

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Moy, A., Muić, G. On the cusp forms of congruence subgroups of an almost simple Lie group. Math. Z. 283, 401–417 (2016). https://doi.org/10.1007/s00209-015-1604-7

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  • DOI: https://doi.org/10.1007/s00209-015-1604-7

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