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Serre–Lusztig relations for \(\imath \)quantum groups II

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Abstract

The \(\imath \)Serre relations and the corresponding Serre–Lusztig relations are formulated and established for arbitrary \(\imath \)quantum groups arising from quantum symmetric pairs of Kac–Moody type.

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Acknowledgements

XC is supported by the Fundamental Research Funds for the Central Universities Grant 2682020ZT100 and 2682021ZTPY043. ML is partially supported by the National Natural Science Foundation of China (No. 12171333). WW is partially supported by the NSF Grant DMS-2001351. We thank some anonymous experts for helpful feedbacks and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Southwest Jiaotong University, Chengdu, 610031, People’s Republic of China

    Xinhong Chen

  2. Mathematics Research Group, National Security Agency, Fort Meade, MD, 20755-6844, USA

    Gail Letzter

  3. Department of Mathematics, University of Maryland, College Park, MD, 20742, USA

    Gail Letzter

  4. Department of Mathematics, Sichuan University, Chengdu, 610064, People’s Republic of China

    Ming Lu

  5. Department of Mathematics, University of Virginia, Charlottesville, VA, 22904, USA

    Weiqiang Wang

Authors
  1. Xinhong Chen
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  2. Gail Letzter
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  3. Ming Lu
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  4. Weiqiang Wang
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Correspondence to Ming Lu.

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Chen, X., Letzter, G., Lu, M. et al. Serre–Lusztig relations for \(\imath \)quantum groups II. Lett Math Phys 112, 5 (2022). https://doi.org/10.1007/s11005-021-01497-9

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  • DOI: https://doi.org/10.1007/s11005-021-01497-9

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