• Corpus ID: 245769819

An intrinsic approach to relative braid group symmetries on $\imath$quantum groups

@inproceedings{Wang2022AnIA,
  title={An intrinsic approach to relative braid group symmetries on \$\imath\$quantum groups},
  author={Weiqiang Wang and Weinan Zhang},
  year={2022}
}
We initiate a general approach to the relative braid group symmetries on (universal) $\imath$quantum groups, arising from quantum symmetric pairs of arbitrary finite types, and their modules. Our approach is built on new intertwining properties of quasi $K$-matrices which we develop and braid group symmetries on (Drinfeld double) quantum groups. Explicit formulas for these new symmetries on $\imath$quantum groups are obtained. We establish a number of fundamental properties for these symmetries… 

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