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

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.

Bibliographic Details
Main Author: Perelomov Askold M.
Format: Article
Language:English
Published: Sciendo 2020-12-01
Series:Communications in Mathematics
Subjects:
Online Access:https://doi.org/10.2478/cm-2020-0024