Mark D. Gould

activity

20242026

collaborators

4 papers

math.RT2026

Classification of irreducible unitary modules over $u (p, q ∣ n)$

Mark D. Gould, Artem Pulemotov, Jorgen Rasmussen +1

We classify all irreducible highest-weight unitary modules over the non-compact real form $u (p, q ∣ n)$ of the general linear Lie superalgebra $gl_{p + q ∣ n}$ . The…

math-ph2025

Einstein metrics on homogeneous superspaces

Yang Zhang, Mark D. Gould, Artem Pulemotov +1

This paper initiates the study of the Einstein equation on homogeneous supermanifolds. First, we produce explicit curvature formulas for graded Riemannian metrics on these spaces.…

math.RT2025

Finite-dimensional $Z$ -graded Lie algebras

Mark D. Gould, Phillip S. Isaac, Ian Marquette +1

We investigate the structure and representation theory of finite-dimensional $Z$ -graded Lie algebras, including the corresponding root systems and Verma, irreducible, and…

math.RT2024

Unitary branching rules for the general linear Lie superalgebra

Mark Gould, Yang Zhang

In terms of highest weights, we establish branching rules for finite dimensional unitary simple modules of the general linear Lie superalgebra $gl_{m ∣ n}$ . Our proof uses…

Classification of irreducible unitary modules over u(p,q∣n)

Einstein metrics on homogeneous superspaces

Finite-dimensional Z-graded Lie algebras

Unitary branching rules for the general linear Lie superalgebra

Classification of irreducible unitary modules over $u (p, q ∣ n)$

Finite-dimensional $Z$ -graded Lie algebras