## Principal orbit types for algebraic transformation spaces in characteristic zero.(English)Zbl 0242.14010

### MSC:

 14L10 Group varieties 20G05 Representation theory for linear algebraic groups 57S15 Compact Lie groups of differentiable transformations
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### References:

 [1] Bialynicki-Birula, A.: On homogeneous affine spaces of linear algebraic groups. Amer. J. Math.85, 577-582 (1963). · Zbl 0116.38202 [2] Borel, A.: Linear algebraic groups. Notes by H. Bass. New York: Benjamin 1969. · Zbl 0186.33201 [3] Guillemin, V., Sternberg, S.: Remarks on a paper of Hermann. Trans. Amer. Math. Soc.130, 110-116 (1968). · Zbl 0155.05701 [4] Luna, D.: Slices étales. (To appear.) [5] Montgomery, D., Zippin, L.: Topological transformation groups. New York: Interscience 1955. · Zbl 0068.01904 [6] Mumford, D.: Geometric invariant theory. Berlin-Heidelberg-New York: Springer 1965. · Zbl 0147.39304 [7] Richardson, R.: Deformations of Lie subgroups and the variation of isotropy subgroups. (To appear.) · Zbl 0242.22020 [8] Rosenlicht, M.: Some basic theorems on algebraic groups. Amer. J. Math.78, 401-443 (1956). · Zbl 0073.37601 [9] Weil, A.: Remarks on the cohomology of groups. Ann. of Math. (2)80, 149-157 (1964). · Zbl 0192.12802
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