Jørgen Rasmussen

collaborators

3 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…

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

Einstein metrics on homogeneous superspaces

Finite-dimensional Z-graded Lie algebras

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

Finite-dimensional $Z$ -graded Lie algebras