A quantum symmetric pair is a quantization of the symmetric pair of universal enveloping algebras. Recent development suggests that most of the theory for quantum groups can be generalized to the setting of quantum symmetric pairs. In this paper, we study the ıquantum group at roots of 1. We generalize Lusztig's quantum Frobenius morphism in this new setting. We define the small ıquantum group and compute its dimension.

中文翻译：

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根为1的量子对称对

量子对称对是通用包络代数对称对的量化。最近的发展表明，大多数有关量子基团的理论可以推广到量子对称对的设置。在本文中，我们研究了位于1根处的ı量子群。我们在这种新情况下推广了Lusztig的量子Frobenius态。我们定义小ı量子群并计算其维数。