most citedOn 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type

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math.RT2009★ 9 cited

On 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type

Simon M. Goodwin, Gerhard Roehrle, Glenn Ubly

We consider the finite -algebra $U(\g,e)$ associated to a nilpotent element $e \in \g$ in a simple complex Lie algebra $\g$ of exceptional type. Using presentations obtained thr…