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math.RT2008★ 5 cited
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…
math.RT2007★ 1 cited
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…