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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2014, Issue 3(114), Pages 34–40 (Mi vsgu349)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Field of invariants of Borelean group of adjoint representation of $GL(n,K)$

K. A. Vyatkina

Samara State University, Samara, 443011, Russian Federation
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Abstract: The paper is devoted to invariant theory problems, in particular to the problem of finding generators of invariant fields in an explicit form. The set of generators is given for invariant field of unitriangular group concerning the adjoint representation of $GL(n,K)$ group. Moreover, the set of generators of Borel group for the field of invariants is constructed and their algebraic independence is proved.
Keywords: Lie group, adjoint representation, field of invariant, generators of the field of invariants, Borel group.
Received: 10.04.2014
Revised: 10.04.2014
Document Type: Article
UDC: 519.999
Language: Russian
Citation: K. A. Vyatkina, “Field of invariants of Borelean group of adjoint representation of $GL(n,K)$”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 3(114), 34–40
Citation in format AMSBIB
\Bibitem{Vya14}
\by K.~A.~Vyatkina
\paper Field of invariants of Borelean group of adjoint representation of $GL(n,K)$
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2014
\issue 3(114)
\pages 34--40
\mathnet{http://mi.mathnet.ru/vsgu349}
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  • https://www.mathnet.ru/eng/vsgu/y2014/i3/p34
    • 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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