8 citations · 29 across the 15 of their papers we have counts for
15 papers
Polar Brauer categories, infinitesimal braids and Lie superalgebra representations
Gustav Lehrer, Ruibin Zhang
We define a class of monoidal categories whose morphisms are diagrams, and which are enhancements and generalisations of the Brauer category obtained by adjoining infinitesimal bra…
Branching algebras for the general linear Lie superalgebra
Soo Teck Lee, Ruibin Zhang
We develop an algebraic approach to the branching of representations of the general linear Lie superalgebra , by constructing certain super commut…
Para-spaces, their differential analysis and an application to Green's quantisation
Ruibin Zhang
We introduce a class of non-commutative geometries, loosely referred to as para-spaces, which are manifolds equipped with sheaves of non-commutative algebras called para-algebras.…
Representations of Quantum Coordinate Algebras at Generic and Wiring Diagrams
He Zhang, Hechun Zhang, Ruibin Zhang
This paper is devoted to the representation theory of quantum coordinate algebra , for a semisimple Lie group and a generic parameter . By inspecting the ac…
Invariants of the special orthogonal group and an enhanced Brauer category
Gustav Lehrer, Ruibin Zhang
We first give a short intrinsic, diagrammatic proof of the First Fundamental Theorem of invariant theory (FFT) for the special orthogonal group , given the…
Borelic pairs for stratified algebras
Kevin Coulembier, Ruibin Zhang
We determine all values of the parameters for which the cell modules form a standard system, for a class of cellular diagram algebras including partition, Brauer, walled Brauer, Te…