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A simple construction of basic polynomials invariant under the Weyl group of the simple finite-dimensional complex Lie algebra
Communications in Mathematics, Tome 28 (2020) no. 3, pp. 301-305
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For every simple finite-dimensional complex Lie algebra, I give a simple construction of all (except for the Pfaffian) basic polynomials invariant under the Weyl group. The answer is given in terms of the two basic polynomials of smallest degree.
For every simple finite-dimensional complex Lie algebra, I give a simple construction of all (except for the Pfaffian) basic polynomials invariant under the Weyl group. The answer is given in terms of the two basic polynomials of smallest degree.
Classification : 11F22
Keywords: Weyl group; invariant polynomial 
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Perelomov, Askold M. A simple construction of basic polynomials invariant under the Weyl group of the simple finite-dimensional complex Lie algebra. Communications in Mathematics, Tome 28 (2020) no. 3, pp. 301-305. http://geodesic.mathdoc.fr/item/COMIM_2020_28_3_a4/

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