E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov
Published 2015-02-27Version 1
We propose a new method of calculation of generating functions of Chebyshev polynomials in several variables associated with root systems of simple Lie algebras. We obtain the generating functions of the polynomials in two variables corresponding to the Lie algebras C_2 and G_2.
On an approach for computing the generating functions of the characters of simple Lie algebras
Good Gradings of Simple Lie Algebras
Split Casimir operator for simple Lie algebras in the cube of $\mathsf{ad}$-representation and Vogel parameters
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