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1998 | 44 | 1 | 37-50
Tytuł artykułu

On symmetric semialgebraic sets and orbit spaces

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Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Słowa kluczowe
Rocznik
Tom
44
Numer
1
Strony
37-50
Opis fizyczny
Daty
wydano
1998
Twórcy
  • Mathematisches Institut, Universität Münster, Einsteinstraß e 62, D-48149 Münster, Germany
Bibliografia
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  • [Lu] D. Luna, Slices étales, in: Sur les groupes algébriques, Bull. Soc. Math. France, Mémoire 33, Paris, 1973, 81-105.
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  • [Pr] A. Prestel, Lectures on Formally Real Fields, Lecture Notes in Math. 1093, Springer, Berlin, 1984.
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  • [Slo-Kno] P. Slodowy, Der Scheibensatz für algebraische Transformationsgruppen, mit einem Anhang von F. Knop, in: Algebraische Transformationsgruppen und Invariantentheorie, DMV Sem. 13, Birkhäuser, Basel, 1989, 89-114.
  • [Weyl] H. Weyl, The Classical Groups, 2nd ed., Princeton University Press, 1946.
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-bcpv44i1p37bwm
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