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Space of orbits of a three-dimensional simple compact linear Lie group

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Abstract

An upper estimate for the codimension of the subspace of points with finite orbits for a representation of a three-dimensional simple compact Lie group whose quotient is a manifold is obtained.

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References

  1. O. G. Styrt, “The Orbit Space of a Compact Linear Lie Group with Commutative Connected Component,” Trudy Mosk. Matem. Obshch. 70, 235 (2009).

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  2. M. A. Mikhailova, “The Quotient Space Modulo the Action of a Finite Group Generated by Pseudoreflections,” Izvestiya Akad. Nauk SSSR, Ser. Matem. 48(1), 104 (1984).

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    O. G. Styrt

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  1. O. G. Styrt
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Additional information

Original Russian Text © O. G. Styrt, 2010, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2010, Vol. 65, No. 6, pp. 51–52.

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Styrt, O.G. Space of orbits of a three-dimensional simple compact linear Lie group. Moscow Univ. Math. Bull. 65, 255–256 (2010). https://doi.org/10.3103/S0027132210060082

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  • DOI: https://doi.org/10.3103/S0027132210060082

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