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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 2(76), Pages 72–83
(Mi vsgu149)
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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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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
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
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https://www.mathnet.ru/eng/vsgu149 https://www.mathnet.ru/eng/vsgu/y2010/i2/p72
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Abstract page: | 129 | Full-text PDF : | 59 | References: | 25 | First page: | 1 |
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