Isomorphism between twisted $q$-Yangians and affine $\imath$quantum groups: type AI
Kang Lu
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Abstract
By employing Gauss decomposition, we establish a direct and explicit isomorphism between the twisted -Yangians (in R-matrix presentation) and affine quantum groups (in current presentation) associated to symmetric pair of type AI introduced by Molev-Ragoucy-Sorba and Lu-Wang, respectively. As a corollary, we obtain a PBW type basis for affine quantum groups of type AI.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Quantum many-body systems · Advanced Topics in Algebra