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We formulate a family of algebras, twisted Yangians (of split type) in current generators and relations, via a degeneration of the Drinfeld presentation of affine quantum groups (associated with split Satake diagrams). These new algebras admit PBW type bases and are shown to be a deformation of twisted current algebras; presentations for twisted current algebras are also provided. For type AI, it matches with the Drinfeld presentation of twisted Yangian obtained via Gauss decomposition. We conjecture that our split twisted Yangians are isomorphic to the corresponding ones in RTT presentation.
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Lu et al. (Fri,) studied this question.
synapsesocial.com/papers/68e65acab6db6435875e9b88 — DOI: https://doi.org/10.48550/arxiv.2406.05067
Kang Lu
Southern University of Science and Technology
Weiqiang Wang
Northeast Petroleum University
Weinan Zhang
University of Hong Kong
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