2019/10/10 by Huanchen Bao, Bao, Huanchen, Thomas Sale +2
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.QA #math.RT
paper · pdf · doi:10.48550/arxiv.1910.04393
17 pages; comments welcome
arxiv created 2019/10/10 · arxiv updated 2019/10/11
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 generalised to the setting of quantum symmetric pairs. In this paper, we study the \imathquantum group at roots of 1. We generalize Lusztig's quantum Frobenius morphism in this new setting. We define the small \imathquantum group and compute its dimension.