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Low degree cohomologies of congruence groups

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Abstract

We prove the vanishing of certain low degree cohomologies of some induced representations. As an application, we determine certain low degree cohomologies of congruence groups.

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Acknowledgements

The first author was supported by Research Grants Council General Research Fund of Hong Kong Special Administrative Region (Grant No. 16303314). The second author was supported by National Natural Science Foundation of China (Grant Nos. 11688101, 11525105, 11621061 and 11531008).

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Authors and Affiliations

  1. Institute for Advanced Study in Mathematics, Zhejiang University, Hangzhou, 310058, China

    Jian-Shu Li

  2. Department of Mathematics, Hong Kong University of Science and Technology, Hong Kong, China

    Jian-Shu Li

  3. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Binyong Sun

  4. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Binyong Sun

Authors
  1. Jian-Shu Li
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  2. Binyong Sun
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Correspondence to Binyong Sun.

Additional information

Dedicated to Professor Lo Yang on the Occasion of His 80th Birthday

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Li, JS., Sun, B. Low degree cohomologies of congruence groups. Sci. China Math. 62, 2287–2308 (2019). https://doi.org/10.1007/s11425-018-9476-8

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  • DOI: https://doi.org/10.1007/s11425-018-9476-8

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