A Drinfeld Presentation of the Queer Super-Yangian

2025/03/05 by Chang, Zhihua, Wang, Yongjie
#16T20 #17B37 #20G42 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2503.03181

Abstract

We introduce a Drinfeld presentation for the super-Yangian Y(\mathfrakq_n) associated with the queer Lie superalgebra \mathfrakq_n. The Drinfeld generators of Y(\mathfrakq_n) are obtained through a block Gauss decomposition of the generator matrix in its RTT presentation, and the Drinfeld relations are explicitly computed by utilizing a block version of its RTT relations. As a byproduct, we obtain a new expression for the central series of Y(\mathfrakq_n) in terms of Gauss generators.

Related

• Drinfeld super Yangian of the exceptional Lie superalgebra D(2,1;λ)
• A Drinfeld type presentation of twisted Yangians
• Hopf superalgebra structure for Drinfeld super Yangian of Lie superalgebra B(m,n)
• Centralizer construction of the Yangian of the queer Lie superalgebra
• Classification of Hopf superalgebra structures on Drinfeld super Yangians