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A Drinfeld type presentation of twisted Yangians (2308.12254v1)
Published 23 Aug 2023 in math.QA, math-ph, math.MP, and math.RT
Abstract: We develop a Gauss decomposition approach to establish a Drinfeld type current presentation for Olshanski's twisted Yangians associated to the orthogonal Lie algebras (also called twisted Yangians of type AI), settling a longstanding open problem. We expect that this will open the door for finding current presentations for other twisted Yangians.