50 citations · 143 across the 33 of their papers we have counts for
33 papers
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…
Diagram categories and invariant theory for classical groups and supergroups
G. I. Lehrer, R. B. Zhang
We introduce the notion of a diagram category and discuss its application to the invariant theory of classical groups and super groups, with some indications concerning extensions…
Generalised Temperley-Lieb algebras of type
Gus Lehrer, Mengfan Lyu
In an earlier work, we defined a ``generalised Temperley-Lieb algebra'' corresponding to the imprimitive reflection group as a quotient of the cyclotomic He…
Milnor fibre homology complexes
Gus Lehrer, Yang Zhang
Let be a finite Coxeter group. We give an algebraic presentation of what we refer to as ``the non-crossing algebra'', which is associated to the hyperplane complement of an…
A factorisation theorem for the coinvariant algebra of a unitary reflection group
G. I. Lehrer
We prove the following theorem. Let be a finite group generated by unitary reflections in a complex Hermitian space and let be any reflection subgroup…
Schur-Weyl duality for certain infinite dimensional -modules
Kenji Iohara, Gus Lehrer, Ruibin Zhang
Let be the two-dimensional simple module and be a projective Verma module for the quantum group of at generic . We show that for any , the endo…