Abstract
Let be the Lie group and let be the vector space of real matrices. An action of on is given by
We consider the orbits of this group action and demonstrate a cross-section to the orbits. We then determine the stabilizer for a typical element in this cross-section and completely describe the fundamental group of an orbit of maximal dimension.
Citation
Kyle Czarnecki. R. Michael Howe. Aaron McTavish. "On the orbits of an orthogonal group action." Involve 2 (5) 495 - 509, 2009. https://doi.org/10.2140/involve.2009.2.495
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