Yang Zhang

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20242026

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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.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)

Unitary branching rules for the general linear Lie superalgebra

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