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Transactions of the Moscow Mathematical Society
Transactions of the Moscow Mathematical Society
ISSN 1547-738X(online) ISSN 0077-1554(print)

The simplest stationary subalgebras, for compact linear Lie algebras


Author: O. G. Styrt
Translated by: E. Khukhro
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva.
Journal: Trans. Moscow Math. Soc. 2012, 107-120
MSC (2010): Primary 17B10; Secondary 17B20, 17B45, 22E46
Posted: January 24, 2013
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Abstract: Sufficient conditions are obtained for the existence of a vector with a one-dimensional or simple three-dimensional stationary subalgebra for an irreducible compact linear Lie algebra.


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Additional Information

O. G. Styrt
Affiliation: Moscow State University
Email: oleg{\textunderscore}styrt@mail.ru

DOI: http://dx.doi.org/10.1090/S0077-1554-2013-00199-5
PII: S 0077-1554(2013)00199-5
Keywords: Compact linear Lie algebra, root system, Dynkin diagram, stationary subalgebra in general position (s.s.g.p.)
Posted: January 24, 2013
Additional Notes: This research was supported by the “Dinastiya” foundation.
Article copyright: © Copyright 2013 O. G. Styrt