On symmetric semialgebraic sets and orbit spaces

Ludwig Bröcker

Banach Center Publications (1998)

  • Volume: 44, Issue: 1, page 37-50
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Bröcker, Ludwig. "On symmetric semialgebraic sets and orbit spaces." Banach Center Publications 44.1 (1998): 37-50. <http://eudml.org/doc/208892>.

@article{Bröcker1998,
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.},
author = {Bröcker, Ludwig},
journal = {Banach Center Publications},
keywords = {symmetric semialgebraic sets; orbit spaces},
language = {eng},
number = {1},
pages = {37-50},
title = {On symmetric semialgebraic sets and orbit spaces},
url = {http://eudml.org/doc/208892},
volume = {44},
year = {1998},
}

TY - JOUR
AU - Bröcker, Ludwig
TI - On symmetric semialgebraic sets and orbit spaces
JO - Banach Center Publications
PY - 1998
VL - 44
IS - 1
SP - 37
EP - 50
AB - 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.
LA - eng
KW - symmetric semialgebraic sets; orbit spaces
UR - http://eudml.org/doc/208892
ER -

References

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