3 citations · 5 across the 10 of their papers we have counts for
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Simple Harish-Chandra bimodules in positive characteristics
Lewis Groves, Lewis Topley, Matthew Westaway
Let be a standard reductive group over an algebraically closed field of positive characteristic and let . The category of Harish-Chandra b…
Parabolic induction for modular finite -algebras
Simon Goodwin, Lewis Topley, Matt Westaway
We study the modules of minimal dimension for reduced enveloping algebras of Lie algebras of reductive algebraic groups using the theory of modular finite -algebras. First of al…
Quantization of nilpotent coadjoint -orbit closures in positive characteristics
Filippo Ambrosio, Lewis Topley, Matthew Westaway
Let be a reductive group over an algebraically closed field of positive characteristic , good for the root system of . The closures of -orbits in the Hilbert nullcone…
Two problems in the representation theory of reduced enveloping algebras
Matthew Westaway
In this paper we consider two problems relating to the representation theory of Lie algebras of reductive algebraic groups over algebraically closed fields ${\m…
On induced completely prime primitive ideals in enveloping algebras of classical Lie algebras
Simon M. Goodwin, Lewis Topley, Matthew Westaway
A distinguished family of completely prime primitive ideals in the universal enveloping algebra of a reductive Lie algebra over are those ideals const…
Tilting modules and highest weight theory for reduced enveloping algebras
Matthew Westaway
Let be a reductive algebraic group over an algebraically closed field of characteristic , and let be its Lie algebra. Given in stan…
A note on Humphreys' conjecture on blocks
Matthew Westaway
Humphreys' conjecture on blocks parametrises the blocks of reduced enveloping algebras , where is the Lie algebra of a reductive algebraic group…
On graded representations of modular Lie algebras over commutative algebras
Matthew Westaway
We develop the theory of a category which is a generalisation to non-restricted -modules of a category famously studied by Andersen, Jantzen and Soe…
Higher Deformations of Lie Algebra Representations II
Matthew Westaway
Steinberg's tensor product theorem shows that for semisimple algebraic groups the study of irreducible representations of higher Frobenius kernels reduces to the study of irreducib…
Integration of Modules II: Exponentials
Dmitriy Rumynin, Matthew Westaway
We continue our exploration of various approaches to integration of representations from a Lie algebra $\mbox{Lie} (G)$ to an algebraic group in positive characteristic. In the…
Higher Deformations of Lie Algebra Representations I
Matthew Westaway
In the late 1980s, Friedlander and Parshall studied the representations of a family of algebras which were obtained as deformations of the distribution algebra of the first Frobeni…
Integration of Modules I: Stability
Dmitriy Rumynin, Matthew Westaway
We explore the integration of representations from a Lie algebra to its algebraic group in positive characteristic. An integrable module is stable under the twists by group element…