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arXiv · 2209.12860

Relative braid group symmetries on $\imath$quantum groups of Kac-Moody type

Weinan Zhang
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Abstract

Recently, relative braid group actions on $\imath$quantum groups of arbitrary finite types have been constructed by Wang and the author. In this paper, we extend that construction to $\imath$quantum groups of Kac-Moody type. We formulate root vectors for $\imath$quantum groups in both recursive forms and closed $\imath$divided power forms. We show that the relative braid group symmetries send root vectors to root vectors.

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Weinan Zhang. 2022-09-26. Relative braid group symmetries on $\imath$quantum groups of Kac-Moody type. https://doi.org/10.1007/s00029-023-00861-y

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