A+ CATEGORY SCIENTIFIC UNIT

On symmetric semialgebraic sets and orbit spaces

Volume 44 / 1998

Ludwig Bröcker Banach Center Publications 44 (1998), 37-50 DOI: 10.4064/-44-1-37-50

Abstract

For a symmetric (= invariant under the action of a compact Lie group G) semialgebraic basic set C, described by s polynomial inequalities, we show, that C can also be written by s + 1 G-invariant polynomials. We also describe orbit spaces for the action of G by a number of inequalities only depending on the structure of G.

Authors

  • Ludwig Bröcker

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