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arxiv: 0905.1532 · v1 · submitted 2009-05-11 · 🧮 math.GR · math.RT

On Kostant's partial order on hyperbolic elements

classification 🧮 math.GR math.RT
keywords elementshyperbolickostantorderpartialconversedimensionalfinite
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We study Kostant's partial order on the elements of a semisimple Lie group in relations with the finite dimensional representations. In particular, we prove the converse statement of [3, Theorem 6.1] on hyperbolic elements.

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