A note on the center of the super Yangian Y_M|N(\mathfraks)

2023/01/19 by Hao Chang, Chang, Hao, Hangmen Hu +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2301.08100

Abstract

Let Y_M|N(\mathfraks) be the super Yangian associated with an arbitrary fixed 0^M1^N-sequence \mathfraks. In the present paper, we give a new formula for the quantum Berezinian by using the parabolic generators, which generalizes the usual expression in terms of RTT generators or Drinfeld generators.

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• Quantum Berezinian for the Twisted Super Yangian
• The center of the modular super Yangian Y_m|n
• Parabolic presentations of the modular Super Yangian Y(M|N)
• The center of modular shifted Yangians and parabolic generators
• Yangian of the periplectic Lie superalgebra