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Analogue of Feigin's map on $\imath$quantum group of split type

Quantum Algebra 2025-02-14 v1 Rings and Algebras Representation Theory

Abstract

The (universal) ı\imathquantum groups are as a vast generalization of (Drinfeld double) quantum groups. We establish an algebra homomorphism from universal ı\imathquantum group of split type to a certain quantum torus, which can be viewed as an ı\imathanalogue of Feigin's map on the quantum group.

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Cite

@article{arxiv.2502.09430,
  title  = {Analogue of Feigin's map on $\imath$quantum group of split type},
  author = {Ming Lu and Shiquan Ruan and Haicheng Zhang},
  journal= {arXiv preprint arXiv:2502.09430},
  year   = {2025}
}

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31 pages