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arXiv · 2212.08381

On the Jacobian Matrices of Generalized Chebyshev Polynomials

Ahmet İleri·Ömer Küçüksakallı
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Abstract

In this paper, we give a practical method to compute the Jacobian matrices of generalized Chebyshev polynomials associated to arbitrary semisimple Lie algebras. The entries of each Jacobian matrix can be expressed as a linear combination of characters of irreducible representations of the underlying Lie algebra with integer coefficients. These integer coefficients can be obtained by basic computations in the fundamental Weyl chamber.

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Ahmet İleri, Ömer Küçüksakallı. 2022-12-16. On the Jacobian Matrices of Generalized Chebyshev Polynomials. https://arxiv.org/abs/2212.08381

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