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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…
math.RT2006
Prehomogeneous spaces for Borel subgroups of general linear groups
Simon M. Goodwin, Lutz Hille
Let be an algebraically closed field. Let be the Borel subgroup of $\mGL_n(k)$ consisting of nonsingular upper triangular matrices. Let $\frb = \mLie B$ be the Lie algebra…