Geodesic
Stationary Subalgebras in General Position for Locally Strongly Effective Actions
Matematičeskie zametki, Tome 88 (2010) no. 5, pp. 689-707

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In the present paper, a classification of all locally strongly effective actions of a semisimple algebraic group on a finite-dimensional complex vector space with nontrivial stationary subalgebra in general position is carried out.
Keywords: semisimple algebraic group, Lie algebra, locally strongly effective action, stationary subalgebra, reductive complex algebraic group, irreducible representation.
Mots-clés : Lie group 
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     author = {D. G. Il'inskii},
     title = {Stationary {Subalgebras} in {General} {Position} for {Locally} {Strongly} {Effective} {Actions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {689--707},
     publisher = {mathdoc},
     volume = {88},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_5_a5/}
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D. G. Il'inskii. Stationary Subalgebras in General Position for Locally Strongly Effective Actions. Matematičeskie zametki, Tome 88 (2010) no. 5, pp. 689-707. http://geodesic.mathdoc.fr/item/MZM_2010_88_5_a5/