On the Jacobian Matrices of Generalized Chebyshev Polynomials

Date

2025-01-01

Author

İleri, Ahmet
Küçüksakallı, Ömer

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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.

Subject Keywords

character formula, Exponential invariants

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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105009250713&origin=inward
https://hdl.handle.net/11511/115263

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Department of Mathematics, Article