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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014 Issue 3(114), Pages 34–40 (Mi vsgu349)

This article is cited 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.

UDC: 519.999

Received: 10.04.2014
Revised: 10.04.2014



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