Jonathan S. Brown

activity

20102017

most citedFinite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras

2 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.RT2017

On the variety of 1-dimensional representations of finite $W$ -algebras in low rank

Jonathan Brown, Simon M. Goodwin

Let $g$ be a simple Lie algebra over $C$ and let $e \in g$ be nilpotent. We consider the finite $W$ -algebra $U (g, e)$ associated to $e$ and the…

math.RT2011★ 2 cited

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…

math.RT2010★ 2 cited

Finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras

Jonathan S. Brown, Simon M. Goodwin

We consider finite W-algebras U(g,e) associated to even multiplicity nilpotent elements in classical Lie algebras. We give a classification of finite dimensional irreducible U(g,e)…

On the variety of 1-dimensional representations of finite W-algebras in low rank

On changing highest weight theories for finite W-algebras

Finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras

On the variety of 1-dimensional representations of finite $W$ -algebras in low rank