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

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 28.3 (2020): 301-305. <http://eudml.org/doc/297174>.

@article{Perelomov2020,
abstract = {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.},
author = {Perelomov, Askold M.},
journal = {Communications in Mathematics},
keywords = {Weyl group; invariant polynomial},
language = {eng},
number = {3},
pages = {301-305},
publisher = {University of Ostrava},
title = {A simple construction of basic polynomials invariant under the Weyl group of the simple finite-dimensional complex Lie algebra},
url = {http://eudml.org/doc/297174},
volume = {28},
year = {2020},
}

TY - JOUR
AU - Perelomov, Askold M.
TI - A simple construction of basic polynomials invariant under the Weyl group of the simple finite-dimensional complex Lie algebra
JO - Communications in Mathematics
PY - 2020
PB - University of Ostrava
VL - 28
IS - 3
SP - 301
EP - 305
AB - 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.
LA - eng
KW - Weyl group; invariant polynomial
UR - http://eudml.org/doc/297174
ER -