18 citations · 78 across the 11 of their papers we have counts for
11 papers
Representations of shifted super Yangians and finite -superalgebras of type A
Kang Lu, Yung-Ning Peng
In this article, we study the representation theory of shifted super Yangians and finite -superalgebras of type A. A criterion for the finite dimensionality of irreducible modul…
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…
On character table of Clifford groups
Chin-Yen Lee, Wei-Hsuan Yu, Yung-Ning Peng +1
Based on a presentation of and the help of [GAP], we construct the character table of the Clifford group for . As an application, we can ef…
Parabolic category for periplectic Lie superalgebras
Chih-Whi Chen, Yung-Ning Peng
We provide a linkage principle in an arbitrary parabolic category for the periplectic Lie superalgebras . As an application, we classif…
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 $…
Affine Periplectic Brauer Algebras
Chih-Whi Chen, Yung-Ning Peng
We formulate Nazarov-Wenzl type algebras for the representation theory of the Periplectic Lie superalgebras . We establish a Arakawa-Suzuki typ…
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…
Super tableaux and a branching rule for the general linear Lie superalgebra
Sean Clark, Yung-Ning Peng, Sittipong Thamrongpairoj
In this note, we formulate and prove branching rules of simple polynomial modules for the Lie superalgebra . Our branching rules depend on the conjugacy class o…
Parabolic presentations of the super Yangian
Yung-Ning Peng
Associated to a composition of M and a composition of N, a new presentation of the super Yangian of the general linear Lie superalgebra is obtained.