Yung-Ning Peng

activity

20102026

most citedFinite W-superalgebras via super Yangians

18 citations · 78 across the 11 of their papers we have counts for

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6 papers · 1 filter

math.RT2026

Representations of shifted super Yangians and finite $W$ -superalgebras of type A

Kang Lu, Yung-Ning Peng

In this article, we study the representation theory of shifted super Yangians and finite $W$ -superalgebras of type A. A criterion for the finite dimensionality of irreducible modul…

math.RT2023★ 1 cited

On character table of Clifford groups

Chin-Yen Lee, Wei-Hsuan Yu, Yung-Ning Peng +1

Based on a presentation of $C_{n}$ and the help of [GAP], we construct the character table of the Clifford group $C_{n}$ for $n = 1, 2, 3$ . As an application, we can ef…

math.RT2020★ 2 cited

Parabolic category $O^{p}$ for periplectic Lie superalgebras $pe (n)$

Chih-Whi Chen, Yung-Ning Peng

We provide a linkage principle in an arbitrary parabolic category $O^{p}$ for the periplectic Lie superalgebras $pe (n)$ . As an application, we classif…

math.RT2016

Affine Periplectic Brauer Algebras

Chih-Whi Chen, Yung-Ning Peng

We formulate Nazarov-Wenzl type algebras $P_{d}^{-}$ for the representation theory of the Periplectic Lie superalgebras $p (n)$ . We establish a Arakawa-Suzuki typ…

math.RT2013

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 $gl (m ∣ n)$ . Our branching rules depend on the conjugacy class o…

math.RT2010★ 10 cited

Parabolic presentations of the super Yangian $Y (g l_{M ∣ N})$

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 $Y (g l_{M ∣ N})$ is obtained.