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Notes on a Lie algebraic relation

Published 20 Jun 2018 in math.RT | (1806.10659v1)

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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