Yung-Ning Peng

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20132026

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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.RT2020

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.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…

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

Parabolic category Op for periplectic Lie superalgebras pe(n)

Super tableaux and a branching rule for the general linear Lie superalgebra

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

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