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math.RT2025
Invariants and representations of the -graded general linear Lie -algebras
R. B. Zhang
There is considerable current interest in applications of generalised Lie algebras graded by an abelian group with a commutative factor . 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…
math.RT2009★ 6 cited
Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2)
Yucai Su, R. B. Zhang
The composition factors and their multiplicities are determined for generalised Verma modules over the orthosymplectic Lie superalgebra osp(k|2). The results enable us to obtain ex…