This article is cited in 2 papers

Stationary Subalgebras in General Position for Locally Strongly Effective Actions

D. G. Il'inskii

M. V. Lomonosov Moscow State University

Abstract: 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 group, Lie algebra, locally strongly effective action, stationary subalgebra, reductive complex algebraic group, irreducible representation.

UDC: 512.743.7+512.815.1+512.813.3

Received: 19.12.2007
Revised: 04.06.2010

DOI: 10.4213/mzm4408

 English version: Mathematical Notes, 2010, 88:5, 661–677

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