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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 2(76), Pages 72–83 (Mi vsgu149)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

The invariant algebra of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra

V. V. Sevost'yanova

Dept. of Algebra and Geometry, Samara State University, Samara, 443011, Russia
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Abstract: In the paper the invariant algebra of the adjoint action of the triangular group in the nilradical of a parabolic subalgebra is studied. We formulate a conjecture on the structure of the invariant algebra. The conjecture is proved for parabolic subalgebras of a special case.
Keywords: Invariant algebra, Parabolic subalgebras, Triangular group, Adjoint representation.
Received: 10.02.2010
Revised: 10.02.2010
Document Type: Article
UDC: 512.815.4
Language: Russian
Citation: V. V. Sevost'yanova, “The invariant algebra of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 2(76), 72–83
Citation in format AMSBIB
\Bibitem{Sev10}
\by V.~V.~Sevost'yanova
\paper The invariant algebra of the adjoint action of the unitriangular group in the nilradical of a parabolic subalgebra
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2010
\issue 2(76)
\pages 72--83
\mathnet{http://mi.mathnet.ru/vsgu149}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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