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19962024
most citedOuter Automorphism Groups of Simple Lie Algebras and Symmetries of Painted Diagrams

2 citations · 2 across the 6 of their papers we have counts for

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6 papers

math.RT2024

Geometric quantization and unitary highest weight Harish-Chandra supermodules

Meng-Kiat Chuah, Rita Fioresi

Geometric quantization transforms a symplectic manifold with Lie group action to a unitary representation. In this article, we extend geometric quantization to the super setting. W…

math.DG2023

Super Kähler structures on the complex Abelian Lie supergroups

Meng-Kiat Chuah, Fabio Gavarini

Let be a real Abelian Lie supergroup, let be its complexification. We classify the -invariant super Kähler forms on . For the super Kähler forms with Hamiltonian acti…

math.RT2022★ 2 cited

Outer Automorphism Groups of Simple Lie Algebras and Symmetries of Painted Diagrams

Meng-Kiat Chuah, Mingjing Zhang

For a real semisimple Lie algebra, we consider its automorphism group quotient by its identity component. This is known as the outer automorphism group. In this article, we compute…

math.RT2022

Affine Vogan Diagrams and Symmetric Pairs

Meng-Kiat Chuah

We introduce the affine Vogan diagrams of complex simple Lie algebras. These are generalizations of Vogan diagrams, and we study the involutions represented by them. We apply these…

math.RT2020

Partial Dirac Cohomology and Tempered Representations

Meng-Kiat Chuah, Jing-Song Huang, Joseph A. Wolf

The tempered representations of a real reductive Lie group are naturally partitioned into series associated with conjugacy classes of Cartan subgroups of . We define par…

dg-ga1996

Kaehler structures on Kc/(P,P)

Meng-Kiat Chuah

Let K be a compact semi-simple Lie group. We classify K-invariant Kaehler structures on the space Kc/(P,P), where Kc is the complexification of K, P is a parabolic subgroup of Kc,…