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

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010 Issue 2(76), Pages 72–83 (Mi vsgu149)

This article is cited 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

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.

UDC: 512.815.4

Received: 10.02.2010
Revised: 10.02.2010



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