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A Property of Lie Group Orbits

Published online by Cambridge University Press:  20 November 2018

Mladen Božičević
Mladen Božičević*
Affiliation:
University of Zagreb Department of Geotechnics Hallerova aleja 7 42000 Varaždin Croatia email: [email protected]
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Abstract

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Let $G$ be a real Lie group and $X$ a real analytic manifold. Suppose that $G$ acts analytically on $X$ with finitely many orbits. Then the orbits are subanalytic in $X$. As a consequence we show that the micro-support of a $G$-equivariant sheaf on $X$ is contained in the conormal variety of the $G$-action.

Keywords

32B2022E15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 43 , Issue 1 , 01 March 2000 , pp. 47 - 50
Copyright
Copyright © Canadian Mathematical Society 2000

References

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