Slice theorem for differential spaces and reduction by stages

• Autorzy: Lusala T. , Śniatycki J.
• Języki publikacji: EN

Abstrakty

EN

We show that the space P/G of orbits of a proper action of a Lie group G on a locally compact differential space P is a locally compact differential space with quotient topology. Applying this result to reduction of symmetries of Hamiltonian systems, we prove the reduction by stages theorem.

Słowa kluczowe

EN

differential space; proper action; reduction by stages

PL

przestrzeń różniczkowa; właściwe działanie; redukcja poprzez etapy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 1
• Strony: 192--210
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Lusala T.

• Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada

autor

Śniatycki J.

• Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada

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