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math.AG2003
On Invarinat Theory of -groups
Dmitri I. Panyushev
This paper is a contribution to Vinberg's theory of -groups, or in other words, to Invariant Theory of periodically graded semisimple Lie algebras. One of our main tools is Spri…
math.AG2003
Regions in the dominant chamber and nilpotent orbits
Dmitri I. Panyushev
We give a geometric description for the dominant characteristic of a nilpotent orbit in an arbitrary finite-dimensional rational G-module. In particular, we obtain a generalization…