English

Notes on a Lie algebraic relation

Representation Theory 2018-06-29 v1

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.

Keywords

Cite

@article{arxiv.1806.10659,
  title  = {Notes on a Lie algebraic relation},
  author = {Stéphane Korvers},
  journal= {arXiv preprint arXiv:1806.10659},
  year   = {2018}
}
R2 v1 2026-06-23T02:44:03.121Z