Inventiones mathematicae

, Volume 81, Issue 3, pp 539-554

First online:

Inequalities defining orbit spaces

  • Claudio ProcesiAffiliated withDipartimento di Matematica, Istituto “Guido Castelnuovo”, Università degli Studi di Roma
  • , Gerald SchwarzAffiliated withDepartment of Mathematics, Brandeis University

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The orbit space of a representation of a compact Lie group has a natural semialgebraic structure. We describe explicit ways of finding the inequalities defining this structure, and we give some applications.