19 citations · 63 across the 19 of their papers we have counts for
28 papers
The number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits
Alexander Premet, David Stewart
In this paper we describe the number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits in finite-dimensional simple Lie algebras. Thanks to the resul…
Complete reducibility and subgroups of exceptional algebraic groups
Alastair J. Litterick, David I. Stewart, Adam R. Thomas
This survey article has two components. The first part gives a gentle introduction to Serre's notion of -complete reducibility, where is a connected reductive algebraic grou…
A Prolog assisted search for new simple Lie algebras
David Cushing, George W. Stagg, David I. Stewart
We describe some recent computer investigations with the `Constraint Logic Programming over Finite Domains' -- CLP(FD) -- library in the Prolog programming environment to search fo…
On the exponent of geometric unipotent radicals of pseudo-reductive groups
Falk Bannuscher, Maike Gruchot, David I. Stewart
Let be a finite purely inseparable field extension and let be a reductive -group. We denote by the Weil restriction of across , a pseud…
Representatives for unipotent classes and nilpotent orbits
Mikko Korhonen, David I. Stewart, Adam R. Thomas
Let be a simple algebraic group over an algebraically closed field of characteristic . The classification of the conjugacy classes of unipotent elements of and ni…
A New Maximal Subgroup of in Characteristic
David A. Craven, David I. Stewart, Adam R. Thomas
We prove the existence and uniqueness of a new maximal subgroup of the algebraic group of type in characteristic . This has type , and was missing from previous lists…