18 citations · 78 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
Finite W-superalgebras via super Yangians
Yung-Ning Peng
Let be an arbitrary even nilpotent element in the general linear Lie superalgebra and let be the associated finite -superalgebra. Let $…
Parabolic presentations of the super Yangian associated with arbitrary 01-sequences
Yung-Ning Peng
For any fixed composition of and any fixed -sequence , we obtain a new presentation of the super Yangian associated to the general linear…
On shifted super Yangians and a class of finite W-superalgebras
Yung-Ning Peng
We study the finite W-superalgebra associated to a nilpotent element in a general linear Lie superalgebra. Under certain restriction on the Jordan type of , we give a…
Finite W-superalgebras and truncated super Yangians
Yung-Ning Peng
We give a new proof of the fact that the super Yangian of general linear Lie superalgebra is isomorphic to the finite W-superalgebra of the general linear Lie superalgebra associat…