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Notes on a Lie algebraic relation (1806.10659v1)
Published 20 Jun 2018 in math.RT
Abstract: We exhibit explicit orthogonal decompositions of every multidimensional restricted root space of a real semi-simple Lie algebra. We then show a link between this result and a radiality property of smooth functions on G-homogeneous spaces when G is a real semi-simple Lie group.
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