5 citations · 10 across the 4 of their papers we have counts for
4 papers
Highest weight theory for finite W-algebras
Jonathan Brundan, Simon M. Goodwin, Alexander Kleshchev
We define analogues of Verma modules for finite W-algebras. By the usual ideas of highest weight theory, this is a first step towards the classification of finite dimensional irred…
Calculating conjugacy classes in Sylow -subgroups of finite Chevalley groups
Simon M. Goodwin, Gerhard Roehrle
In earlier work, the first author outlined an algorithm for calculating a parametrization of the conjugacy classes in a Sylow -subgroup of a finite Chevalley group …
Orbits of parabolic subgroups on metabelian ideals
Simon M. Goodwin, Lutz Hille, Gerhard Röhrle
We consider the action of a parabolic subgroup of the General Linear Group on a metabelian ideal. For those actions, we classify actions with finitely many orbits using methods fro…
On conjugacy of unipotent elements in finite groups of Lie type
Simon M. Goodwin, Gerhard Roehrle
Let $\bfG$ be a connected reductive algebraic group defined over $\F_q$, where is a power of a prime that is good for $\bfG$. Let be the Frobenius morphism associated w…