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Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 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

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.

Full text: PDF file (249 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
References: PDF file   HTML file
UDC: 519.999
Received: 10.04.2014
Revised: 10.04.2014

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. K. A. Vyatkina, “$U$-proektor prisoedinennogo predstavleniya gruppy $\mathrm{GL}(n,K)$”, Vestn. SamGU. Estestvennonauchn. ser., 2015, no. 10(132), 9–23  mathnet  elib
  • Вестник Самарского государственного университета. Естественнонаучная серия
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