R.-B. Zhang

activity

20232026

collaborators

3 papers

math.QA2026

Quantum groups of Lie colour algebras fulfilling Cartan-Weyl paradigm

R. B. Zhang

Let $Γ$ be an additive abelian group equipped with a commutative factor $ω$ . We describe the simple Lie colour algebras and the associated untwisted affine Lie colour algebras grad…

math.RT2025

Invariants and representations of the $Γ$ -graded general linear Lie $ω$ -algebras

R. B. Zhang

There is considerable current interest in applications of generalised Lie algebras graded by an abelian group $Γ$ with a commutative factor $ω$ . This calls for a systematic develop…

math.RT2023

A polar Brauer category and Lie superalgebra representations

G. I. Lehrer, R. B. Zhang

We introduce a diagram category, study its structure, and investigate some of its applications to the representation theory of Lie algebras and Lie superalgebras. The morphisms of…

Quantum groups of Lie colour algebras fulfilling Cartan-Weyl paradigm

Invariants and representations of the Γ-graded general linear Lie ω-algebras

A polar Brauer category and Lie superalgebra representations

Invariants and representations of the $Γ$ -graded general linear Lie $ω$ -algebras