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A simple construction of basic polynomials invariant under the Weyl group of the simple finite-dimensional complex Lie algebra

Askold M. Perelomov — 2020

Communications in Mathematics

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.

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