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

cm:9515 - Communications in Mathematics, January 5, 2021, Volume 28 (2020), Issue 3 - https://doi.org/10.2478/cm-2020-0024
A simple construction of basic polynomials invariant under the Weyl group of the simple finite-dimensional complex Lie algebraArticle

Authors: Askold M. Perelomov


    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.

    https://doi.org/10.2478/cm-2020-0024
    Source: HAL:hal-03664999v1
    Volume: Volume 28 (2020), Issue 3
    Published on: January 5, 2021
    Imported on: May 11, 2022
    Keywords: [MATH]Mathematics [math]
    Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)

    Classifications

    Mathematics Subject Classification 20201
    Sources:
    • [1] zbMATH Open.

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