Modular orthogonal Yangians

2025/05/31 by Chang, Hao, Hu, Hongmei
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2506.00395

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.

Citations

• Modular representations of the Yangian Y₂
• The center of the modular super Yangian Y_m|n
• Quasideterminants, I
• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL

Related

• The center of the modular super Yangian Y_m|n
• The center of modular shifted Yangians and parabolic generators
• Modular representations of the Yangian Y₂
• Yangians and their applications
• Orthogonalization and polarization of Yangians