19 citations · 24 across the 5 of their papers we have counts for
8 papers
Finite -algebra invariants via Lax type operators
Jonathan S. Brown
We use variations on Lax type operators to find explicit formulas for certain elements of finite -algebras. These give a complete set of generators for all finite -algebras o…
On the variety of 1-dimensional representations of finite -algebras in low rank
Jonathan Brown, Simon M. Goodwin
Let be a simple Lie algebra over and let be nilpotent. We consider the finite -algebra associated to and the…
A Drinfeld presentation for the twisted Yangian
Jonathan S Brown
We define the Drinfeld generators for , the twisted Yangian associated to the Lie algebra . This allows us to define shifted twisted Yangians, w…
Purely infinite -algebras associated to étale groupoids
Jonathan Brown, Lisa Orloff Clark, Adam Sierakowski
Let be a Hausdorff, étale groupoid that is minimal and topologically principal. We show that is purely infinite simple if and only if all the nonzero positive elemen…
Non-integral representation theory of even multiplicity finite W-algebras
Jonathan S. Brown, Simon M. Goodwin
We complete the classification of the finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent elements in classical Lie algebr…
On changing highest weight theories for finite W-algebras
Jonathan S. Brown, Simon M. Goodwin
A highest weight theory for a finite W-algebra U(g,e) was developed in [BGK]. This leads to a strategy for classifying the irreducible finite dimensional U(g,e)-modules. The highes…