6 papers
Twisted super Yangians of quasi-split type A
Kang Lu
We introduce the twisted super Yangian of quasi-split type A in the Drinfeld current presentation for an arbitrary symmetric parity sequence $\mathfrak{…
Shifted twisted Yangians and affine Grassmannian islices
Kang Lu, Weiqiang Wang, Alex Weekes
In a prequel we introduced the shifted iYangians associated to quasi-split Satake diagrams of type ADE and even spherical coweights , and constructed the iGKLO r…
A Drinfeld type presentation of twisted Yangians of quasi-split type
Kang Lu, Weinan Zhang
We formulate a family of algebras, twisted Yangians (of simply-laced quasi-split type) in Drinfeld type current generators and defining relations. These new algebras admit PBW type…
A Drinfeld type presentation of twisted Yangians
Kang Lu, Weiqiang Wang, Weinan Zhang
We develop a Gauss decomposition approach to establish a Drinfeld type current presentation for Olshanski's twisted Yangians associated to the orthogonal Lie algebras (also called…
Shifted twisted Yangians and finite -algebras of classical type
Kang Lu, Yung-Ning Peng, Lukas Tappeiner +2
We introduce parabolic presentations of twisted Yangians of types AI and AII, interpolating between the R-matrix presentation and the Drinfeld presentation. Then we formulate and p…
Affine quantum groups and twisted Yangians in Drinfeld presentations
Kang Lu, Weiqiang Wang, Weinan Zhang
We formulate a family of algebras, twisted Yangians (of split type) in current generators and relations, via a degeneration of the Drinfeld presentation of affine quantum g…