Geodesic
On differential operators for Chebyshev polynomials of several variables
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 25, Tome 473 (2018), pp. 99-109

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We obtain the differential operators for bivariate Chebyshev polynomials of the first kind, associated with root systems of the simple Lie algebras $C_2$ and $G_2$. 
@article{ZNSL_2018_473_a6,
     author = {E. V. Damaskinskiy and M. A. Sokolov},
     title = {On differential operators  for {Chebyshev} polynomials of several variables},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {99--109},
     publisher = {mathdoc},
     volume = {473},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_473_a6/}
}
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E. V. Damaskinskiy; M. A. Sokolov. On differential operators  for Chebyshev polynomials of several variables. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 25, Tome 473 (2018), pp. 99-109. http://geodesic.mathdoc.fr/item/ZNSL_2018_473_a6/