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On Polynomial Invariants of Exceptional Simple Algebraic Groups

Published online by Cambridge University Press:  20 November 2018

A. Elduque  and
A. V. Iltyakov
A. Elduque
Affiliation:
Departamento de Matemáticas y Computación, Universidad de la Rioja, 26004 Logroño, Spain
A. V. Iltyakov
Affiliation:
Institute of Mathematics, Siberian Branch of Russian Academy of Sciences Novosibirsk, 630090, Russia
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Abstract

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We study polynomial invariants of systems of vectors with respect to exceptional simple algebraic groups in their minimal linear representations. For each type we prove that the algebra of invariants is integral over the subalgebra of trace polynomials for a suitable algebraic system $\left( cf.\,[27],\,[28],\,[13] \right)$.

Keywords

15A7217C20
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 3 , 01 June 1999 , pp. 506 - 522
Copyright
Copyright © Canadian Mathematical Society 1999

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