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A Property of Lie Group Orbits
Published online by Cambridge University Press: 20 November 2018
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.
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- Copyright © Canadian Mathematical Society 2000
References
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Bierstone, E. and Milman, P. D., Semi-analytic and subanalytic sets. Inst. Hautes Études Sci. Publ. Math. 67 (1988), 5–42.Google Scholar
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