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Modular orthogonal Yangians

Published 31 May 2025 in math.QA and math.RT | (2506.00395v1)

Abstract: We study the (extended) orthogonal Yangians associated to the Lie algebras types $B$ and $D$ over a field of positive characteristic. We define the $p$-center for the Yangians and obtain an explicit description of the center in terms of Drinfeld generators, showing that the center is generated by its Harish-Chandra center together with a large $p$-center.

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