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This is a Quantitative Study study.

October 8, 2025Open Access

Modular orthogonal Yangians

Key Points

The center of the orthogonal Yangians is described explicitly using Drinfeld generators, and it includes the Harish-Chandra center.
The study focuses on the Yangians associated with lie algebras of types B and D, which operate over a field of positive characteristic.
Results show that a large p-center alongside the Harish-Chandra center generates the overall center of these Yangians.
Understanding the center helps clarify the algebraic structure and representation theory of orthogonal Yangians in modular settings.

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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Cite This Study

Chang et al. (Sat,) studied this question.

synapsesocial.com/papers/68e6d7971ffa7aa7d63d174a https://doi.org/https://doi.org/10.48550/arxiv.2506.00395